Home / 1,582.02-2,373.70-932.76

Finding the Fourth Proportional to 1,582.02, 2,373.70 and 932.76

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Solution

The fourth proportional to 1,582.02, 2,373.70 and 932.76 is: 1,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.02 : 2,373.70 = 932.76 : x
  2. Step 2: Convert to fraction form
    1,582.02/2,373.70 = 932.76/x
  3. Step 3: Cross multiply
    1,582.02x = 2,373.70 × 932.76
  4. Step 4: Simplify right side
    1,582.02x = 2,214,092.41
  5. Step 5: Solve for x
    x = 2,214,092.41/1,582.02
  6. Step 6: Final answer
    x = 1,399.54

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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.