Home / 1,522.46-2,284.34-975.71

Finding the Fourth Proportional to 1,522.46, 2,284.34 and 975.71

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Solution

The fourth proportional to 1,522.46, 2,284.34 and 975.71 is: 1,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.46 : 2,284.34 = 975.71 : x
  2. Step 2: Convert to fraction form
    1,522.46/2,284.34 = 975.71/x
  3. Step 3: Cross multiply
    1,522.46x = 2,284.34 × 975.71
  4. Step 4: Simplify right side
    1,522.46x = 2,228,854.21
  5. Step 5: Solve for x
    x = 2,228,854.21/1,522.46
  6. Step 6: Final answer
    x = 1,463.98

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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.