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Finding the Fourth Proportional to 2,646.68, 3,647.72 and 2,341.17

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Solution

The fourth proportional to 2,646.68, 3,647.72 and 2,341.17 is: 3,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.68 : 3,647.72 = 2,341.17 : x
  2. Step 2: Convert to fraction form
    2,646.68/3,647.72 = 2,341.17/x
  3. Step 3: Cross multiply
    2,646.68x = 3,647.72 × 2,341.17
  4. Step 4: Simplify right side
    2,646.68x = 8,539,938.49
  5. Step 5: Solve for x
    x = 8,539,938.49/2,646.68
  6. Step 6: Final answer
    x = 3,226.67

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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.