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Finding the Fourth Proportional to 2,590.38, 3,886.38 and 1,030.32

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Solution

The fourth proportional to 2,590.38, 3,886.38 and 1,030.32 is: 1,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.38 : 3,886.38 = 1,030.32 : x
  2. Step 2: Convert to fraction form
    2,590.38/3,886.38 = 1,030.32/x
  3. Step 3: Cross multiply
    2,590.38x = 3,886.38 × 1,030.32
  4. Step 4: Simplify right side
    2,590.38x = 4,004,215.04
  5. Step 5: Solve for x
    x = 4,004,215.04/2,590.38
  6. Step 6: Final answer
    x = 1,545.80

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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.