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Finding the Fourth Proportional to 2,698.38, 4,051.08 and 1,400.76

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Solution

The fourth proportional to 2,698.38, 4,051.08 and 1,400.76 is: 2,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.38 : 4,051.08 = 1,400.76 : x
  2. Step 2: Convert to fraction form
    2,698.38/4,051.08 = 1,400.76/x
  3. Step 3: Cross multiply
    2,698.38x = 4,051.08 × 1,400.76
  4. Step 4: Simplify right side
    2,698.38x = 5,674,590.82
  5. Step 5: Solve for x
    x = 5,674,590.82/2,698.38
  6. Step 6: Final answer
    x = 2,102.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.