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Finding the Fourth Proportional to 1,677.02, 2,515.22 and 702.86

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Solution

The fourth proportional to 1,677.02, 2,515.22 and 702.86 is: 1,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.02 : 2,515.22 = 702.86 : x
  2. Step 2: Convert to fraction form
    1,677.02/2,515.22 = 702.86/x
  3. Step 3: Cross multiply
    1,677.02x = 2,515.22 × 702.86
  4. Step 4: Simplify right side
    1,677.02x = 1,767,847.53
  5. Step 5: Solve for x
    x = 1,767,847.53/1,677.02
  6. Step 6: Final answer
    x = 1,054.16

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