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Finding the Fourth Proportional to 1,610.70, 2,223.14 and 947.98

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Solution

The fourth proportional to 1,610.70, 2,223.14 and 947.98 is: 1,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.70 : 2,223.14 = 947.98 : x
  2. Step 2: Convert to fraction form
    1,610.70/2,223.14 = 947.98/x
  3. Step 3: Cross multiply
    1,610.70x = 2,223.14 × 947.98
  4. Step 4: Simplify right side
    1,610.70x = 2,107,492.26
  5. Step 5: Solve for x
    x = 2,107,492.26/1,610.70
  6. Step 6: Final answer
    x = 1,308.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.