Home / 1,582.08-2,372.31-924.18

Finding the Fourth Proportional to 1,582.08, 2,372.31 and 924.18

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Solution

The fourth proportional to 1,582.08, 2,372.31 and 924.18 is: 1,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.08 : 2,372.31 = 924.18 : x
  2. Step 2: Convert to fraction form
    1,582.08/2,372.31 = 924.18/x
  3. Step 3: Cross multiply
    1,582.08x = 2,372.31 × 924.18
  4. Step 4: Simplify right side
    1,582.08x = 2,192,441.46
  5. Step 5: Solve for x
    x = 2,192,441.46/1,582.08
  6. Step 6: Final answer
    x = 1,385.80

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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.