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Finding the Fourth Proportional to 2,088.84, 3,132.98 and 993.90

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Solution

The fourth proportional to 2,088.84, 3,132.98 and 993.90 is: 1,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.84 : 3,132.98 = 993.90 : x
  2. Step 2: Convert to fraction form
    2,088.84/3,132.98 = 993.90/x
  3. Step 3: Cross multiply
    2,088.84x = 3,132.98 × 993.90
  4. Step 4: Simplify right side
    2,088.84x = 3,113,868.82
  5. Step 5: Solve for x
    x = 3,113,868.82/2,088.84
  6. Step 6: Final answer
    x = 1,490.72

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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.