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Finding the Fourth Proportional to 2,594.49, 3,580.80 and 1,532.37

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Solution

The fourth proportional to 2,594.49, 3,580.80 and 1,532.37 is: 2,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.49 : 3,580.80 = 1,532.37 : x
  2. Step 2: Convert to fraction form
    2,594.49/3,580.80 = 1,532.37/x
  3. Step 3: Cross multiply
    2,594.49x = 3,580.80 × 1,532.37
  4. Step 4: Simplify right side
    2,594.49x = 5,487,106.67
  5. Step 5: Solve for x
    x = 5,487,106.67/2,594.49
  6. Step 6: Final answer
    x = 2,114.91

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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.