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Finding the Fourth Proportional to 2,499.84, 3,752.10 and 1,577.07

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Solution

The fourth proportional to 2,499.84, 3,752.10 and 1,577.07 is: 2,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.84 : 3,752.10 = 1,577.07 : x
  2. Step 2: Convert to fraction form
    2,499.84/3,752.10 = 1,577.07/x
  3. Step 3: Cross multiply
    2,499.84x = 3,752.10 × 1,577.07
  4. Step 4: Simplify right side
    2,499.84x = 5,917,324.35
  5. Step 5: Solve for x
    x = 5,917,324.35/2,499.84
  6. Step 6: Final answer
    x = 2,367.08

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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.