Home / 1,704.08-2,543.68-1,462.16

Finding the Fourth Proportional to 1,704.08, 2,543.68 and 1,462.16

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Solution

The fourth proportional to 1,704.08, 2,543.68 and 1,462.16 is: 2,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.08 : 2,543.68 = 1,462.16 : x
  2. Step 2: Convert to fraction form
    1,704.08/2,543.68 = 1,462.16/x
  3. Step 3: Cross multiply
    1,704.08x = 2,543.68 × 1,462.16
  4. Step 4: Simplify right side
    1,704.08x = 3,719,267.15
  5. Step 5: Solve for x
    x = 3,719,267.15/1,704.08
  6. Step 6: Final answer
    x = 2,182.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.