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Finding the Fourth Proportional to 2,594.76, 3,580.62 and 1,475.57

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Solution

The fourth proportional to 2,594.76, 3,580.62 and 1,475.57 is: 2,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.76 : 3,580.62 = 1,475.57 : x
  2. Step 2: Convert to fraction form
    2,594.76/3,580.62 = 1,475.57/x
  3. Step 3: Cross multiply
    2,594.76x = 3,580.62 × 1,475.57
  4. Step 4: Simplify right side
    2,594.76x = 5,283,437.55
  5. Step 5: Solve for x
    x = 5,283,437.55/2,594.76
  6. Step 6: Final answer
    x = 2,036.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.