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Finding the Fourth Proportional to 2,061.64, 3,088.14 and 908.20

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Solution

The fourth proportional to 2,061.64, 3,088.14 and 908.20 is: 1,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.64 : 3,088.14 = 908.20 : x
  2. Step 2: Convert to fraction form
    2,061.64/3,088.14 = 908.20/x
  3. Step 3: Cross multiply
    2,061.64x = 3,088.14 × 908.20
  4. Step 4: Simplify right side
    2,061.64x = 2,804,648.75
  5. Step 5: Solve for x
    x = 2,804,648.75/2,061.64
  6. Step 6: Final answer
    x = 1,360.40

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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.