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Finding the Fourth Proportional to 2,447.06, 3,670.59 and 886.70

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Solution

The fourth proportional to 2,447.06, 3,670.59 and 886.70 is: 1,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.06 : 3,670.59 = 886.70 : x
  2. Step 2: Convert to fraction form
    2,447.06/3,670.59 = 886.70/x
  3. Step 3: Cross multiply
    2,447.06x = 3,670.59 × 886.70
  4. Step 4: Simplify right side
    2,447.06x = 3,254,712.15
  5. Step 5: Solve for x
    x = 3,254,712.15/2,447.06
  6. Step 6: Final answer
    x = 1,330.05

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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.