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Finding the Fourth Proportional to 2,358.24, 3,254.40 and 1,310.40

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Solution

The fourth proportional to 2,358.24, 3,254.40 and 1,310.40 is: 1,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.24 : 3,254.40 = 1,310.40 : x
  2. Step 2: Convert to fraction form
    2,358.24/3,254.40 = 1,310.40/x
  3. Step 3: Cross multiply
    2,358.24x = 3,254.40 × 1,310.40
  4. Step 4: Simplify right side
    2,358.24x = 4,264,565.76
  5. Step 5: Solve for x
    x = 4,264,565.76/2,358.24
  6. Step 6: Final answer
    x = 1,808.37

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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.