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Finding the Fourth Proportional to 2,596.16, 3,582.24 and 1,476.92

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Solution

The fourth proportional to 2,596.16, 3,582.24 and 1,476.92 is: 2,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.16 : 3,582.24 = 1,476.92 : x
  2. Step 2: Convert to fraction form
    2,596.16/3,582.24 = 1,476.92/x
  3. Step 3: Cross multiply
    2,596.16x = 3,582.24 × 1,476.92
  4. Step 4: Simplify right side
    2,596.16x = 5,290,681.90
  5. Step 5: Solve for x
    x = 5,290,681.90/2,596.16
  6. Step 6: Final answer
    x = 2,037.89

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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.