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Finding the Fourth Proportional to 2,344.68, 3,235.98 and 1,413

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Solution

The fourth proportional to 2,344.68, 3,235.98 and 1,413 is: 1,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.68 : 3,235.98 = 1,413 : x
  2. Step 2: Convert to fraction form
    2,344.68/3,235.98 = 1,413/x
  3. Step 3: Cross multiply
    2,344.68x = 3,235.98 × 1,413
  4. Step 4: Simplify right side
    2,344.68x = 4,572,439.74
  5. Step 5: Solve for x
    x = 4,572,439.74/2,344.68
  6. Step 6: Final answer
    x = 1,950.13

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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.