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Finding the Fourth Proportional to 1,937.61, 2,901.24 and 1,111.68

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Solution

The fourth proportional to 1,937.61, 2,901.24 and 1,111.68 is: 1,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.61 : 2,901.24 = 1,111.68 : x
  2. Step 2: Convert to fraction form
    1,937.61/2,901.24 = 1,111.68/x
  3. Step 3: Cross multiply
    1,937.61x = 2,901.24 × 1,111.68
  4. Step 4: Simplify right side
    1,937.61x = 3,225,250.48
  5. Step 5: Solve for x
    x = 3,225,250.48/1,937.61
  6. Step 6: Final answer
    x = 1,664.55

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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.