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Finding the Fourth Proportional to 1,567.75, 2,352.54 and 702.10

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Solution

The fourth proportional to 1,567.75, 2,352.54 and 702.10 is: 1,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.75 : 2,352.54 = 702.10 : x
  2. Step 2: Convert to fraction form
    1,567.75/2,352.54 = 702.10/x
  3. Step 3: Cross multiply
    1,567.75x = 2,352.54 × 702.10
  4. Step 4: Simplify right side
    1,567.75x = 1,651,718.33
  5. Step 5: Solve for x
    x = 1,651,718.33/1,567.75
  6. Step 6: Final answer
    x = 1,053.56

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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.