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Finding the Fourth Proportional to 2,670.60, 3,684.77 and 1,663.10

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Solution

The fourth proportional to 2,670.60, 3,684.77 and 1,663.10 is: 2,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.60 : 3,684.77 = 1,663.10 : x
  2. Step 2: Convert to fraction form
    2,670.60/3,684.77 = 1,663.10/x
  3. Step 3: Cross multiply
    2,670.60x = 3,684.77 × 1,663.10
  4. Step 4: Simplify right side
    2,670.60x = 6,128,140.99
  5. Step 5: Solve for x
    x = 6,128,140.99/2,670.60
  6. Step 6: Final answer
    x = 2,294.67

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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.