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Finding the Fourth Proportional to 2,497.66, 3,747.98 and 1,111.08

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Solution

The fourth proportional to 2,497.66, 3,747.98 and 1,111.08 is: 1,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.66 : 3,747.98 = 1,111.08 : x
  2. Step 2: Convert to fraction form
    2,497.66/3,747.98 = 1,111.08/x
  3. Step 3: Cross multiply
    2,497.66x = 3,747.98 × 1,111.08
  4. Step 4: Simplify right side
    2,497.66x = 4,164,281.32
  5. Step 5: Solve for x
    x = 4,164,281.32/2,497.66
  6. Step 6: Final answer
    x = 1,667.27

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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.