Home / 1,511.10-2,267.19-781.20

Finding the Fourth Proportional to 1,511.10, 2,267.19 and 781.20

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Solution

The fourth proportional to 1,511.10, 2,267.19 and 781.20 is: 1,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.10 : 2,267.19 = 781.20 : x
  2. Step 2: Convert to fraction form
    1,511.10/2,267.19 = 781.20/x
  3. Step 3: Cross multiply
    1,511.10x = 2,267.19 × 781.20
  4. Step 4: Simplify right side
    1,511.10x = 1,771,128.83
  5. Step 5: Solve for x
    x = 1,771,128.83/1,511.10
  6. Step 6: Final answer
    x = 1,172.08

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1.5x scale

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.