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Finding the Fourth Proportional to 1,702.69, 2,349.91 and 1,114.53

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Solution

The fourth proportional to 1,702.69, 2,349.91 and 1,114.53 is: 1,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.69 : 2,349.91 = 1,114.53 : x
  2. Step 2: Convert to fraction form
    1,702.69/2,349.91 = 1,114.53/x
  3. Step 3: Cross multiply
    1,702.69x = 2,349.91 × 1,114.53
  4. Step 4: Simplify right side
    1,702.69x = 2,619,037.77
  5. Step 5: Solve for x
    x = 2,619,037.77/1,702.69
  6. Step 6: Final answer
    x = 1,538.18

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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.