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Finding the Fourth Proportional to 1,702.64, 2,564.01 and 1,531.33

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Solution

The fourth proportional to 1,702.64, 2,564.01 and 1,531.33 is: 2,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.64 : 2,564.01 = 1,531.33 : x
  2. Step 2: Convert to fraction form
    1,702.64/2,564.01 = 1,531.33/x
  3. Step 3: Cross multiply
    1,702.64x = 2,564.01 × 1,531.33
  4. Step 4: Simplify right side
    1,702.64x = 3,926,339.02
  5. Step 5: Solve for x
    x = 3,926,339.02/1,702.64
  6. Step 6: Final answer
    x = 2,306.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.