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Finding the Fourth Proportional to 1,531.45, 2,295.35 and 880.84

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Solution

The fourth proportional to 1,531.45, 2,295.35 and 880.84 is: 1,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.45 : 2,295.35 = 880.84 : x
  2. Step 2: Convert to fraction form
    1,531.45/2,295.35 = 880.84/x
  3. Step 3: Cross multiply
    1,531.45x = 2,295.35 × 880.84
  4. Step 4: Simplify right side
    1,531.45x = 2,021,820.21
  5. Step 5: Solve for x
    x = 2,021,820.21/1,531.45
  6. Step 6: Final answer
    x = 1,320.20

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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.