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Finding the Fourth Proportional to 1,454.76, 2,008.61 and 895.41

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Solution

The fourth proportional to 1,454.76, 2,008.61 and 895.41 is: 1,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.76 : 2,008.61 = 895.41 : x
  2. Step 2: Convert to fraction form
    1,454.76/2,008.61 = 895.41/x
  3. Step 3: Cross multiply
    1,454.76x = 2,008.61 × 895.41
  4. Step 4: Simplify right side
    1,454.76x = 1,798,529.48
  5. Step 5: Solve for x
    x = 1,798,529.48/1,454.76
  6. Step 6: Final answer
    x = 1,236.31

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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.