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Finding the Fourth Proportional to 2,465.92, 3,402.96 and 1,346.86

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Solution

The fourth proportional to 2,465.92, 3,402.96 and 1,346.86 is: 1,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.92 : 3,402.96 = 1,346.86 : x
  2. Step 2: Convert to fraction form
    2,465.92/3,402.96 = 1,346.86/x
  3. Step 3: Cross multiply
    2,465.92x = 3,402.96 × 1,346.86
  4. Step 4: Simplify right side
    2,465.92x = 4,583,310.71
  5. Step 5: Solve for x
    x = 4,583,310.71/2,465.92
  6. Step 6: Final answer
    x = 1,858.66

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1.5x scale

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.