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Finding the Fourth Proportional to 1,397.74, 1,927.35 and 1,099.02

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Solution

The fourth proportional to 1,397.74, 1,927.35 and 1,099.02 is: 1,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.74 : 1,927.35 = 1,099.02 : x
  2. Step 2: Convert to fraction form
    1,397.74/1,927.35 = 1,099.02/x
  3. Step 3: Cross multiply
    1,397.74x = 1,927.35 × 1,099.02
  4. Step 4: Simplify right side
    1,397.74x = 2,118,205.55
  5. Step 5: Solve for x
    x = 2,118,205.55/1,397.74
  6. Step 6: Final answer
    x = 1,515.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.