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Finding the Fourth Proportional to 2,084.59, 3,126.27 and 988.66

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Solution

The fourth proportional to 2,084.59, 3,126.27 and 988.66 is: 1,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.59 : 3,126.27 = 988.66 : x
  2. Step 2: Convert to fraction form
    2,084.59/3,126.27 = 988.66/x
  3. Step 3: Cross multiply
    2,084.59x = 3,126.27 × 988.66
  4. Step 4: Simplify right side
    2,084.59x = 3,090,818.10
  5. Step 5: Solve for x
    x = 3,090,818.10/2,084.59
  6. Step 6: Final answer
    x = 1,482.70

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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.