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Finding the Fourth Proportional to 2,678.60, 3,693.80 and 1,630.01

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Solution

The fourth proportional to 2,678.60, 3,693.80 and 1,630.01 is: 2,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.60 : 3,693.80 = 1,630.01 : x
  2. Step 2: Convert to fraction form
    2,678.60/3,693.80 = 1,630.01/x
  3. Step 3: Cross multiply
    2,678.60x = 3,693.80 × 1,630.01
  4. Step 4: Simplify right side
    2,678.60x = 6,020,904.32
  5. Step 5: Solve for x
    x = 6,020,904.32/2,678.60
  6. Step 6: Final answer
    x = 2,247.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.