Home / 1,646.31-2,272.16-947.55

Finding the Fourth Proportional to 1,646.31, 2,272.16 and 947.55

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Solution

The fourth proportional to 1,646.31, 2,272.16 and 947.55 is: 1,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.31 : 2,272.16 = 947.55 : x
  2. Step 2: Convert to fraction form
    1,646.31/2,272.16 = 947.55/x
  3. Step 3: Cross multiply
    1,646.31x = 2,272.16 × 947.55
  4. Step 4: Simplify right side
    1,646.31x = 2,152,980.47
  5. Step 5: Solve for x
    x = 2,152,980.47/1,646.31
  6. Step 6: Final answer
    x = 1,307.76

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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.