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Finding the Fourth Proportional to 2,003.78, 3,005.68 and 1,030.16

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Solution

The fourth proportional to 2,003.78, 3,005.68 and 1,030.16 is: 1,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.78 : 3,005.68 = 1,030.16 : x
  2. Step 2: Convert to fraction form
    2,003.78/3,005.68 = 1,030.16/x
  3. Step 3: Cross multiply
    2,003.78x = 3,005.68 × 1,030.16
  4. Step 4: Simplify right side
    2,003.78x = 3,096,331.31
  5. Step 5: Solve for x
    x = 3,096,331.31/2,003.78
  6. Step 6: Final answer
    x = 1,545.25

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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.