Home / 1,538.32-2,306.52-1,017.76

Finding the Fourth Proportional to 1,538.32, 2,306.52 and 1,017.76

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Solution

The fourth proportional to 1,538.32, 2,306.52 and 1,017.76 is: 1,526.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.32 : 2,306.52 = 1,017.76 : x
  2. Step 2: Convert to fraction form
    1,538.32/2,306.52 = 1,017.76/x
  3. Step 3: Cross multiply
    1,538.32x = 2,306.52 × 1,017.76
  4. Step 4: Simplify right side
    1,538.32x = 2,347,483.80
  5. Step 5: Solve for x
    x = 2,347,483.80/1,538.32
  6. Step 6: Final answer
    x = 1,526.00

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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.