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Finding the Fourth Proportional to 4,502.33, 6,752.88 and 1,580.25

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Solution

The fourth proportional to 4,502.33, 6,752.88 and 1,580.25 is: 2,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.33 : 6,752.88 = 1,580.25 : x
  2. Step 2: Convert to fraction form
    4,502.33/6,752.88 = 1,580.25/x
  3. Step 3: Cross multiply
    4,502.33x = 6,752.88 × 1,580.25
  4. Step 4: Simplify right side
    4,502.33x = 10,671,238.62
  5. Step 5: Solve for x
    x = 10,671,238.62/4,502.33
  6. Step 6: Final answer
    x = 2,370.16

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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.