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Finding the Fourth Proportional to 2,999.53, 4,498.72 and 807.70

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Solution

The fourth proportional to 2,999.53, 4,498.72 and 807.70 is: 1,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.53 : 4,498.72 = 807.70 : x
  2. Step 2: Convert to fraction form
    2,999.53/4,498.72 = 807.70/x
  3. Step 3: Cross multiply
    2,999.53x = 4,498.72 × 807.70
  4. Step 4: Simplify right side
    2,999.53x = 3,633,612.11
  5. Step 5: Solve for x
    x = 3,633,612.11/2,999.53
  6. Step 6: Final answer
    x = 1,211.40

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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.