Home / 1,475.09-2,034.77-922.13

Finding the Fourth Proportional to 1,475.09, 2,034.77 and 922.13

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Solution

The fourth proportional to 1,475.09, 2,034.77 and 922.13 is: 1,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.09 : 2,034.77 = 922.13 : x
  2. Step 2: Convert to fraction form
    1,475.09/2,034.77 = 922.13/x
  3. Step 3: Cross multiply
    1,475.09x = 2,034.77 × 922.13
  4. Step 4: Simplify right side
    1,475.09x = 1,876,322.46
  5. Step 5: Solve for x
    x = 1,876,322.46/1,475.09
  6. Step 6: Final answer
    x = 1,272.01

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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.