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Finding the Fourth Proportional to 2,356.88, 3,534.12 and 894.92

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Solution

The fourth proportional to 2,356.88, 3,534.12 and 894.92 is: 1,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.88 : 3,534.12 = 894.92 : x
  2. Step 2: Convert to fraction form
    2,356.88/3,534.12 = 894.92/x
  3. Step 3: Cross multiply
    2,356.88x = 3,534.12 × 894.92
  4. Step 4: Simplify right side
    2,356.88x = 3,162,754.67
  5. Step 5: Solve for x
    x = 3,162,754.67/2,356.88
  6. Step 6: Final answer
    x = 1,341.92

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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.