Home / 1,655.28-2,284.22-909.20

Finding the Fourth Proportional to 1,655.28, 2,284.22 and 909.20

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Solution

The fourth proportional to 1,655.28, 2,284.22 and 909.20 is: 1,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.28 : 2,284.22 = 909.20 : x
  2. Step 2: Convert to fraction form
    1,655.28/2,284.22 = 909.20/x
  3. Step 3: Cross multiply
    1,655.28x = 2,284.22 × 909.20
  4. Step 4: Simplify right side
    1,655.28x = 2,076,812.82
  5. Step 5: Solve for x
    x = 2,076,812.82/1,655.28
  6. Step 6: Final answer
    x = 1,254.66

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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.