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Finding the Fourth Proportional to 2,457.66, 3,390.14 and 1,462.88

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Solution

The fourth proportional to 2,457.66, 3,390.14 and 1,462.88 is: 2,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.66 : 3,390.14 = 1,462.88 : x
  2. Step 2: Convert to fraction form
    2,457.66/3,390.14 = 1,462.88/x
  3. Step 3: Cross multiply
    2,457.66x = 3,390.14 × 1,462.88
  4. Step 4: Simplify right side
    2,457.66x = 4,959,343.74
  5. Step 5: Solve for x
    x = 4,959,343.74/2,457.66
  6. Step 6: Final answer
    x = 2,017.91

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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.