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Finding the Fourth Proportional to 1,678.38, 2,515.71 and 897.45

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Solution

The fourth proportional to 1,678.38, 2,515.71 and 897.45 is: 1,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.38 : 2,515.71 = 897.45 : x
  2. Step 2: Convert to fraction form
    1,678.38/2,515.71 = 897.45/x
  3. Step 3: Cross multiply
    1,678.38x = 2,515.71 × 897.45
  4. Step 4: Simplify right side
    1,678.38x = 2,257,723.94
  5. Step 5: Solve for x
    x = 2,257,723.94/1,678.38
  6. Step 6: Final answer
    x = 1,345.18

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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.