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Finding the Fourth Proportional to 1,702.92, 2,348.16 and 1,113.14

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Solution

The fourth proportional to 1,702.92, 2,348.16 and 1,113.14 is: 1,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.92 : 2,348.16 = 1,113.14 : x
  2. Step 2: Convert to fraction form
    1,702.92/2,348.16 = 1,113.14/x
  3. Step 3: Cross multiply
    1,702.92x = 2,348.16 × 1,113.14
  4. Step 4: Simplify right side
    1,702.92x = 2,613,830.82
  5. Step 5: Solve for x
    x = 2,613,830.82/1,702.92
  6. Step 6: Final answer
    x = 1,534.91

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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.