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Finding the Fourth Proportional to 2,490.59, 3,437.19 and 1,782.50

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Solution

The fourth proportional to 2,490.59, 3,437.19 and 1,782.50 is: 2,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.59 : 3,437.19 = 1,782.50 : x
  2. Step 2: Convert to fraction form
    2,490.59/3,437.19 = 1,782.50/x
  3. Step 3: Cross multiply
    2,490.59x = 3,437.19 × 1,782.50
  4. Step 4: Simplify right side
    2,490.59x = 6,126,773.99
  5. Step 5: Solve for x
    x = 6,126,773.99/2,490.59
  6. Step 6: Final answer
    x = 2,459.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.