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Finding the Fourth Proportional to 2,460.93, 3,691.62 and 817.50

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Solution

The fourth proportional to 2,460.93, 3,691.62 and 817.50 is: 1,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.93 : 3,691.62 = 817.50 : x
  2. Step 2: Convert to fraction form
    2,460.93/3,691.62 = 817.50/x
  3. Step 3: Cross multiply
    2,460.93x = 3,691.62 × 817.50
  4. Step 4: Simplify right side
    2,460.93x = 3,017,899.35
  5. Step 5: Solve for x
    x = 3,017,899.35/2,460.93
  6. Step 6: Final answer
    x = 1,226.32

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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.