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Finding the Fourth Proportional to 3,364.02, 5,045.45 and 1,023.46

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Solution

The fourth proportional to 3,364.02, 5,045.45 and 1,023.46 is: 1,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.02 : 5,045.45 = 1,023.46 : x
  2. Step 2: Convert to fraction form
    3,364.02/5,045.45 = 1,023.46/x
  3. Step 3: Cross multiply
    3,364.02x = 5,045.45 × 1,023.46
  4. Step 4: Simplify right side
    3,364.02x = 5,163,813.74
  5. Step 5: Solve for x
    x = 5,163,813.74/3,364.02
  6. Step 6: Final answer
    x = 1,535.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.