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Finding the Fourth Proportional to 1,557.59, 2,149.34 and 894.33

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Solution

The fourth proportional to 1,557.59, 2,149.34 and 894.33 is: 1,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.59 : 2,149.34 = 894.33 : x
  2. Step 2: Convert to fraction form
    1,557.59/2,149.34 = 894.33/x
  3. Step 3: Cross multiply
    1,557.59x = 2,149.34 × 894.33
  4. Step 4: Simplify right side
    1,557.59x = 1,922,214.77
  5. Step 5: Solve for x
    x = 1,922,214.77/1,557.59
  6. Step 6: Final answer
    x = 1,234.10

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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.