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Finding the Fourth Proportional to 1,568.70, 2,352.51 and 702.54

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Solution

The fourth proportional to 1,568.70, 2,352.51 and 702.54 is: 1,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.70 : 2,352.51 = 702.54 : x
  2. Step 2: Convert to fraction form
    1,568.70/2,352.51 = 702.54/x
  3. Step 3: Cross multiply
    1,568.70x = 2,352.51 × 702.54
  4. Step 4: Simplify right side
    1,568.70x = 1,652,732.38
  5. Step 5: Solve for x
    x = 1,652,732.38/1,568.70
  6. Step 6: Final answer
    x = 1,053.57

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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.