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Finding the Fourth Proportional to 2,151.68, 3,225.59 and 981.06

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Solution

The fourth proportional to 2,151.68, 3,225.59 and 981.06 is: 1,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.68 : 3,225.59 = 981.06 : x
  2. Step 2: Convert to fraction form
    2,151.68/3,225.59 = 981.06/x
  3. Step 3: Cross multiply
    2,151.68x = 3,225.59 × 981.06
  4. Step 4: Simplify right side
    2,151.68x = 3,164,492.42
  5. Step 5: Solve for x
    x = 3,164,492.42/2,151.68
  6. Step 6: Final answer
    x = 1,470.71

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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.