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Finding the Fourth Proportional to 1,505.40, 2,102.70 and 1,505.40

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Solution

The fourth proportional to 1,505.40, 2,102.70 and 1,505.40 is: 2,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.40 : 2,102.70 = 1,505.40 : x
  2. Step 2: Convert to fraction form
    1,505.40/2,102.70 = 1,505.40/x
  3. Step 3: Cross multiply
    1,505.40x = 2,102.70 × 1,505.40
  4. Step 4: Simplify right side
    1,505.40x = 3,165,404.58
  5. Step 5: Solve for x
    x = 3,165,404.58/1,505.40
  6. Step 6: Final answer
    x = 2,102.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.