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Finding the Fourth Proportional to 2,101.84, 3,152.66 and 931.52

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Solution

The fourth proportional to 2,101.84, 3,152.66 and 931.52 is: 1,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.84 : 3,152.66 = 931.52 : x
  2. Step 2: Convert to fraction form
    2,101.84/3,152.66 = 931.52/x
  3. Step 3: Cross multiply
    2,101.84x = 3,152.66 × 931.52
  4. Step 4: Simplify right side
    2,101.84x = 2,936,769.07
  5. Step 5: Solve for x
    x = 2,936,769.07/2,101.84
  6. Step 6: Final answer
    x = 1,397.24

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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.