Home / 1,534.10-2,296.35-1,102.10

Finding the Fourth Proportional to 1,534.10, 2,296.35 and 1,102.10

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Solution

The fourth proportional to 1,534.10, 2,296.35 and 1,102.10 is: 1,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.10 : 2,296.35 = 1,102.10 : x
  2. Step 2: Convert to fraction form
    1,534.10/2,296.35 = 1,102.10/x
  3. Step 3: Cross multiply
    1,534.10x = 2,296.35 × 1,102.10
  4. Step 4: Simplify right side
    1,534.10x = 2,530,807.34
  5. Step 5: Solve for x
    x = 2,530,807.34/1,534.10
  6. Step 6: Final answer
    x = 1,649.70

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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.