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Finding the Fourth Proportional to 2,099.52, 2,895.84 and 1,436.40

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Solution

The fourth proportional to 2,099.52, 2,895.84 and 1,436.40 is: 1,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.52 : 2,895.84 = 1,436.40 : x
  2. Step 2: Convert to fraction form
    2,099.52/2,895.84 = 1,436.40/x
  3. Step 3: Cross multiply
    2,099.52x = 2,895.84 × 1,436.40
  4. Step 4: Simplify right side
    2,099.52x = 4,159,584.58
  5. Step 5: Solve for x
    x = 4,159,584.58/2,099.52
  6. Step 6: Final answer
    x = 1,981.21

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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.