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Finding the Fourth Proportional to 2,590.40, 3,887.18 and 1,030.12

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Solution

The fourth proportional to 2,590.40, 3,887.18 and 1,030.12 is: 1,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.40 : 3,887.18 = 1,030.12 : x
  2. Step 2: Convert to fraction form
    2,590.40/3,887.18 = 1,030.12/x
  3. Step 3: Cross multiply
    2,590.40x = 3,887.18 × 1,030.12
  4. Step 4: Simplify right side
    2,590.40x = 4,004,261.86
  5. Step 5: Solve for x
    x = 4,004,261.86/2,590.40
  6. Step 6: Final answer
    x = 1,545.81

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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.