Home / 1,532.39-2,293.31-947.16

Finding the Fourth Proportional to 1,532.39, 2,293.31 and 947.16

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Solution

The fourth proportional to 1,532.39, 2,293.31 and 947.16 is: 1,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.39 : 2,293.31 = 947.16 : x
  2. Step 2: Convert to fraction form
    1,532.39/2,293.31 = 947.16/x
  3. Step 3: Cross multiply
    1,532.39x = 2,293.31 × 947.16
  4. Step 4: Simplify right side
    1,532.39x = 2,172,133.87
  5. Step 5: Solve for x
    x = 2,172,133.87/1,532.39
  6. Step 6: Final answer
    x = 1,417.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.