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Finding the Fourth Proportional to 2,081.86, 3,117.12 and 1,497.46

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Solution

The fourth proportional to 2,081.86, 3,117.12 and 1,497.46 is: 2,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.86 : 3,117.12 = 1,497.46 : x
  2. Step 2: Convert to fraction form
    2,081.86/3,117.12 = 1,497.46/x
  3. Step 3: Cross multiply
    2,081.86x = 3,117.12 × 1,497.46
  4. Step 4: Simplify right side
    2,081.86x = 4,667,762.52
  5. Step 5: Solve for x
    x = 4,667,762.52/2,081.86
  6. Step 6: Final answer
    x = 2,242.11

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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.