Home / 1,613.50-2,226.90-914.74

Finding the Fourth Proportional to 1,613.50, 2,226.90 and 914.74

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Solution

The fourth proportional to 1,613.50, 2,226.90 and 914.74 is: 1,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.50 : 2,226.90 = 914.74 : x
  2. Step 2: Convert to fraction form
    1,613.50/2,226.90 = 914.74/x
  3. Step 3: Cross multiply
    1,613.50x = 2,226.90 × 914.74
  4. Step 4: Simplify right side
    1,613.50x = 2,037,034.51
  5. Step 5: Solve for x
    x = 2,037,034.51/1,613.50
  6. Step 6: Final answer
    x = 1,262.49

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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.