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Finding the Fourth Proportional to 2,562.03, 3,840.68 and 1,003.10

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Solution

The fourth proportional to 2,562.03, 3,840.68 and 1,003.10 is: 1,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.03 : 3,840.68 = 1,003.10 : x
  2. Step 2: Convert to fraction form
    2,562.03/3,840.68 = 1,003.10/x
  3. Step 3: Cross multiply
    2,562.03x = 3,840.68 × 1,003.10
  4. Step 4: Simplify right side
    2,562.03x = 3,852,569.41
  5. Step 5: Solve for x
    x = 3,852,569.41/2,562.03
  6. Step 6: Final answer
    x = 1,503.72

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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.