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Finding the Fourth Proportional to 1,702.52, 2,349.80 and 1,039.96

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Solution

The fourth proportional to 1,702.52, 2,349.80 and 1,039.96 is: 1,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.52 : 2,349.80 = 1,039.96 : x
  2. Step 2: Convert to fraction form
    1,702.52/2,349.80 = 1,039.96/x
  3. Step 3: Cross multiply
    1,702.52x = 2,349.80 × 1,039.96
  4. Step 4: Simplify right side
    1,702.52x = 2,443,698.01
  5. Step 5: Solve for x
    x = 2,443,698.01/1,702.52
  6. Step 6: Final answer
    x = 1,435.34

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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.