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Finding the Fourth Proportional to 2,158.95, 3,238.47 and 698.16

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Solution

The fourth proportional to 2,158.95, 3,238.47 and 698.16 is: 1,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.95 : 3,238.47 = 698.16 : x
  2. Step 2: Convert to fraction form
    2,158.95/3,238.47 = 698.16/x
  3. Step 3: Cross multiply
    2,158.95x = 3,238.47 × 698.16
  4. Step 4: Simplify right side
    2,158.95x = 2,260,970.22
  5. Step 5: Solve for x
    x = 2,260,970.22/2,158.95
  6. Step 6: Final answer
    x = 1,047.25

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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.