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Finding the Fourth Proportional to 1,560.95, 2,154.32 and 897.78

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Solution

The fourth proportional to 1,560.95, 2,154.32 and 897.78 is: 1,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.95 : 2,154.32 = 897.78 : x
  2. Step 2: Convert to fraction form
    1,560.95/2,154.32 = 897.78/x
  3. Step 3: Cross multiply
    1,560.95x = 2,154.32 × 897.78
  4. Step 4: Simplify right side
    1,560.95x = 1,934,105.41
  5. Step 5: Solve for x
    x = 1,934,105.41/1,560.95
  6. Step 6: Final answer
    x = 1,239.06

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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.