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Finding the Fourth Proportional to 2,913.70, 4,348.16 and 2,602.30

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Solution

The fourth proportional to 2,913.70, 4,348.16 and 2,602.30 is: 3,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.70 : 4,348.16 = 2,602.30 : x
  2. Step 2: Convert to fraction form
    2,913.70/4,348.16 = 2,602.30/x
  3. Step 3: Cross multiply
    2,913.70x = 4,348.16 × 2,602.30
  4. Step 4: Simplify right side
    2,913.70x = 11,315,216.77
  5. Step 5: Solve for x
    x = 11,315,216.77/2,913.70
  6. Step 6: Final answer
    x = 3,883.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.