Home / 1,522.28-2,103.02-1,024.74

Finding the Fourth Proportional to 1,522.28, 2,103.02 and 1,024.74

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Solution

The fourth proportional to 1,522.28, 2,103.02 and 1,024.74 is: 1,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.28 : 2,103.02 = 1,024.74 : x
  2. Step 2: Convert to fraction form
    1,522.28/2,103.02 = 1,024.74/x
  3. Step 3: Cross multiply
    1,522.28x = 2,103.02 × 1,024.74
  4. Step 4: Simplify right side
    1,522.28x = 2,155,048.71
  5. Step 5: Solve for x
    x = 2,155,048.71/1,522.28
  6. Step 6: Final answer
    x = 1,415.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.