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Finding the Fourth Proportional to 2,088.56, 3,132.90 and 934.40

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Solution

The fourth proportional to 2,088.56, 3,132.90 and 934.40 is: 1,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.56 : 3,132.90 = 934.40 : x
  2. Step 2: Convert to fraction form
    2,088.56/3,132.90 = 934.40/x
  3. Step 3: Cross multiply
    2,088.56x = 3,132.90 × 934.40
  4. Step 4: Simplify right side
    2,088.56x = 2,927,381.76
  5. Step 5: Solve for x
    x = 2,927,381.76/2,088.56
  6. Step 6: Final answer
    x = 1,401.63

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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.