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Finding the Fourth Proportional to 1,484.14, 2,224.72 and 702.76

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Solution

The fourth proportional to 1,484.14, 2,224.72 and 702.76 is: 1,053.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.14 : 2,224.72 = 702.76 : x
  2. Step 2: Convert to fraction form
    1,484.14/2,224.72 = 702.76/x
  3. Step 3: Cross multiply
    1,484.14x = 2,224.72 × 702.76
  4. Step 4: Simplify right side
    1,484.14x = 1,563,444.23
  5. Step 5: Solve for x
    x = 1,563,444.23/1,484.14
  6. Step 6: Final answer
    x = 1,053.43

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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.