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Finding the Fourth Proportional to 1,702.55, 2,552.10 and 661.90

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Solution

The fourth proportional to 1,702.55, 2,552.10 and 661.90 is: 992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.55 : 2,552.10 = 661.90 : x
  2. Step 2: Convert to fraction form
    1,702.55/2,552.10 = 661.90/x
  3. Step 3: Cross multiply
    1,702.55x = 2,552.10 × 661.90
  4. Step 4: Simplify right side
    1,702.55x = 1,689,226.13
  5. Step 5: Solve for x
    x = 1,689,226.13/1,702.55
  6. Step 6: Final answer
    x = 992.18

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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.