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Finding the Fourth Proportional to 2,416.36, 3,625.54 and 1,030

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Solution

The fourth proportional to 2,416.36, 3,625.54 and 1,030 is: 1,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.36 : 3,625.54 = 1,030 : x
  2. Step 2: Convert to fraction form
    2,416.36/3,625.54 = 1,030/x
  3. Step 3: Cross multiply
    2,416.36x = 3,625.54 × 1,030
  4. Step 4: Simplify right side
    2,416.36x = 3,734,306.20
  5. Step 5: Solve for x
    x = 3,734,306.20/2,416.36
  6. Step 6: Final answer
    x = 1,545.43

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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.