Home / 1,655.31-2,284.82-947.57

Finding the Fourth Proportional to 1,655.31, 2,284.82 and 947.57

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Solution

The fourth proportional to 1,655.31, 2,284.82 and 947.57 is: 1,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.31 : 2,284.82 = 947.57 : x
  2. Step 2: Convert to fraction form
    1,655.31/2,284.82 = 947.57/x
  3. Step 3: Cross multiply
    1,655.31x = 2,284.82 × 947.57
  4. Step 4: Simplify right side
    1,655.31x = 2,165,014.28
  5. Step 5: Solve for x
    x = 2,165,014.28/1,655.31
  6. Step 6: Final answer
    x = 1,307.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.