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Finding the Fourth Proportional to 2,101.16, 3,151.64 and 784.81

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Solution

The fourth proportional to 2,101.16, 3,151.64 and 784.81 is: 1,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.16 : 3,151.64 = 784.81 : x
  2. Step 2: Convert to fraction form
    2,101.16/3,151.64 = 784.81/x
  3. Step 3: Cross multiply
    2,101.16x = 3,151.64 × 784.81
  4. Step 4: Simplify right side
    2,101.16x = 2,473,432.67
  5. Step 5: Solve for x
    x = 2,473,432.67/2,101.16
  6. Step 6: Final answer
    x = 1,177.17

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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.