Home / 1,522.17-2,278.63-974.74

Finding the Fourth Proportional to 1,522.17, 2,278.63 and 974.74

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Solution

The fourth proportional to 1,522.17, 2,278.63 and 974.74 is: 1,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.17 : 2,278.63 = 974.74 : x
  2. Step 2: Convert to fraction form
    1,522.17/2,278.63 = 974.74/x
  3. Step 3: Cross multiply
    1,522.17x = 2,278.63 × 974.74
  4. Step 4: Simplify right side
    1,522.17x = 2,221,063.67
  5. Step 5: Solve for x
    x = 2,221,063.67/1,522.17
  6. Step 6: Final answer
    x = 1,459.14

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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.