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Finding the Fourth Proportional to 1,552.92, 2,143.06 and 854.32

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Solution

The fourth proportional to 1,552.92, 2,143.06 and 854.32 is: 1,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.92 : 2,143.06 = 854.32 : x
  2. Step 2: Convert to fraction form
    1,552.92/2,143.06 = 854.32/x
  3. Step 3: Cross multiply
    1,552.92x = 2,143.06 × 854.32
  4. Step 4: Simplify right side
    1,552.92x = 1,830,859.02
  5. Step 5: Solve for x
    x = 1,830,859.02/1,552.92
  6. Step 6: Final answer
    x = 1,178.98

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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.