Home / 1,972.16-2,957.73-585.12

Finding the Fourth Proportional to 1,972.16, 2,957.73 and 585.12

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Solution

The fourth proportional to 1,972.16, 2,957.73 and 585.12 is: 877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.16 : 2,957.73 = 585.12 : x
  2. Step 2: Convert to fraction form
    1,972.16/2,957.73 = 585.12/x
  3. Step 3: Cross multiply
    1,972.16x = 2,957.73 × 585.12
  4. Step 4: Simplify right side
    1,972.16x = 1,730,635.87
  5. Step 5: Solve for x
    x = 1,730,635.87/1,972.16
  6. Step 6: Final answer
    x = 877.53

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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.