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Finding the Fourth Proportional to 2,524.61, 3,484.18 and 1,405.76

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Solution

The fourth proportional to 2,524.61, 3,484.18 and 1,405.76 is: 1,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.61 : 3,484.18 = 1,405.76 : x
  2. Step 2: Convert to fraction form
    2,524.61/3,484.18 = 1,405.76/x
  3. Step 3: Cross multiply
    2,524.61x = 3,484.18 × 1,405.76
  4. Step 4: Simplify right side
    2,524.61x = 4,897,899.28
  5. Step 5: Solve for x
    x = 4,897,899.28/2,524.61
  6. Step 6: Final answer
    x = 1,940.07

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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.