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Finding the Fourth Proportional to 2,465.93, 3,697.80 and 734.15

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Solution

The fourth proportional to 2,465.93, 3,697.80 and 734.15 is: 1,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.93 : 3,697.80 = 734.15 : x
  2. Step 2: Convert to fraction form
    2,465.93/3,697.80 = 734.15/x
  3. Step 3: Cross multiply
    2,465.93x = 3,697.80 × 734.15
  4. Step 4: Simplify right side
    2,465.93x = 2,714,721.38
  5. Step 5: Solve for x
    x = 2,714,721.38/2,465.93
  6. Step 6: Final answer
    x = 1,100.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.