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Finding the Fourth Proportional to 2,270.02, 3,132.93 and 1,974.10

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Solution

The fourth proportional to 2,270.02, 3,132.93 and 1,974.10 is: 2,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.02 : 3,132.93 = 1,974.10 : x
  2. Step 2: Convert to fraction form
    2,270.02/3,132.93 = 1,974.10/x
  3. Step 3: Cross multiply
    2,270.02x = 3,132.93 × 1,974.10
  4. Step 4: Simplify right side
    2,270.02x = 6,184,717.11
  5. Step 5: Solve for x
    x = 6,184,717.11/2,270.02
  6. Step 6: Final answer
    x = 2,724.52

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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.