Home / 1,520.24-2,098.32-931.20

Finding the Fourth Proportional to 1,520.24, 2,098.32 and 931.20

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Solution

The fourth proportional to 1,520.24, 2,098.32 and 931.20 is: 1,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.24 : 2,098.32 = 931.20 : x
  2. Step 2: Convert to fraction form
    1,520.24/2,098.32 = 931.20/x
  3. Step 3: Cross multiply
    1,520.24x = 2,098.32 × 931.20
  4. Step 4: Simplify right side
    1,520.24x = 1,953,955.58
  5. Step 5: Solve for x
    x = 1,953,955.58/1,520.24
  6. Step 6: Final answer
    x = 1,285.29

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1.5x scale

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.