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Finding the Fourth Proportional to 2,499.84, 3,752.04 and 1,577.04

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Solution

The fourth proportional to 2,499.84, 3,752.04 and 1,577.04 is: 2,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.84 : 3,752.04 = 1,577.04 : x
  2. Step 2: Convert to fraction form
    2,499.84/3,752.04 = 1,577.04/x
  3. Step 3: Cross multiply
    2,499.84x = 3,752.04 × 1,577.04
  4. Step 4: Simplify right side
    2,499.84x = 5,917,117.16
  5. Step 5: Solve for x
    x = 5,917,117.16/2,499.84
  6. Step 6: Final answer
    x = 2,367.00

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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.