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Finding the Fourth Proportional to 2,590.54, 3,883.28 and 1,030.02

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Solution

The fourth proportional to 2,590.54, 3,883.28 and 1,030.02 is: 1,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.54 : 3,883.28 = 1,030.02 : x
  2. Step 2: Convert to fraction form
    2,590.54/3,883.28 = 1,030.02/x
  3. Step 3: Cross multiply
    2,590.54x = 3,883.28 × 1,030.02
  4. Step 4: Simplify right side
    2,590.54x = 3,999,856.07
  5. Step 5: Solve for x
    x = 3,999,856.07/2,590.54
  6. Step 6: Final answer
    x = 1,544.02

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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.