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Finding the Fourth Proportional to 1,594.47, 2,200.46 and 895.89

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Solution

The fourth proportional to 1,594.47, 2,200.46 and 895.89 is: 1,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.47 : 2,200.46 = 895.89 : x
  2. Step 2: Convert to fraction form
    1,594.47/2,200.46 = 895.89/x
  3. Step 3: Cross multiply
    1,594.47x = 2,200.46 × 895.89
  4. Step 4: Simplify right side
    1,594.47x = 1,971,370.11
  5. Step 5: Solve for x
    x = 1,971,370.11/1,594.47
  6. Step 6: Final answer
    x = 1,236.38

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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.