Home / 1,656.31-2,285.66-948.13

Finding the Fourth Proportional to 1,656.31, 2,285.66 and 948.13

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Solution

The fourth proportional to 1,656.31, 2,285.66 and 948.13 is: 1,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.31 : 2,285.66 = 948.13 : x
  2. Step 2: Convert to fraction form
    1,656.31/2,285.66 = 948.13/x
  3. Step 3: Cross multiply
    1,656.31x = 2,285.66 × 948.13
  4. Step 4: Simplify right side
    1,656.31x = 2,167,108.04
  5. Step 5: Solve for x
    x = 2,167,108.04/1,656.31
  6. Step 6: Final answer
    x = 1,308.39

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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.