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Finding the Fourth Proportional to 1,798.61, 2,697.30 and 702.68

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Solution

The fourth proportional to 1,798.61, 2,697.30 and 702.68 is: 1,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.61 : 2,697.30 = 702.68 : x
  2. Step 2: Convert to fraction form
    1,798.61/2,697.30 = 702.68/x
  3. Step 3: Cross multiply
    1,798.61x = 2,697.30 × 702.68
  4. Step 4: Simplify right side
    1,798.61x = 1,895,325.28
  5. Step 5: Solve for x
    x = 1,895,325.28/1,798.61
  6. Step 6: Final answer
    x = 1,053.78

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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.