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Finding the Fourth Proportional to 2,594.63, 3,580.00 and 1,531.91

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Solution

The fourth proportional to 2,594.63, 3,580.00 and 1,531.91 is: 2,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.63 : 3,580.00 = 1,531.91 : x
  2. Step 2: Convert to fraction form
    2,594.63/3,580.00 = 1,531.91/x
  3. Step 3: Cross multiply
    2,594.63x = 3,580.00 × 1,531.91
  4. Step 4: Simplify right side
    2,594.63x = 5,484,242.92
  5. Step 5: Solve for x
    x = 5,484,242.92/2,594.63
  6. Step 6: Final answer
    x = 2,113.69

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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.