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Finding the Fourth Proportional to 2,703.72, 4,051.86 and 1,406.10

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Solution

The fourth proportional to 2,703.72, 4,051.86 and 1,406.10 is: 2,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.72 : 4,051.86 = 1,406.10 : x
  2. Step 2: Convert to fraction form
    2,703.72/4,051.86 = 1,406.10/x
  3. Step 3: Cross multiply
    2,703.72x = 4,051.86 × 1,406.10
  4. Step 4: Simplify right side
    2,703.72x = 5,697,320.35
  5. Step 5: Solve for x
    x = 5,697,320.35/2,703.72
  6. Step 6: Final answer
    x = 2,107.22

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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.