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Finding the Fourth Proportional to 2,407.65, 3,323.12 and 1,566.89

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Solution

The fourth proportional to 2,407.65, 3,323.12 and 1,566.89 is: 2,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.65 : 3,323.12 = 1,566.89 : x
  2. Step 2: Convert to fraction form
    2,407.65/3,323.12 = 1,566.89/x
  3. Step 3: Cross multiply
    2,407.65x = 3,323.12 × 1,566.89
  4. Step 4: Simplify right side
    2,407.65x = 5,206,970.48
  5. Step 5: Solve for x
    x = 5,206,970.48/2,407.65
  6. Step 6: Final answer
    x = 2,162.68

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Why These Related Problems?

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