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Finding the Fourth Proportional to 2,458.90, 3,389.70 and 1,868.41

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Solution

The fourth proportional to 2,458.90, 3,389.70 and 1,868.41 is: 2,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.90 : 3,389.70 = 1,868.41 : x
  2. Step 2: Convert to fraction form
    2,458.90/3,389.70 = 1,868.41/x
  3. Step 3: Cross multiply
    2,458.90x = 3,389.70 × 1,868.41
  4. Step 4: Simplify right side
    2,458.90x = 6,333,349.38
  5. Step 5: Solve for x
    x = 6,333,349.38/2,458.90
  6. Step 6: Final answer
    x = 2,575.68

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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.