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Finding the Fourth Proportional to 2,203.72, 3,041.08 and 1,417.77

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Solution

The fourth proportional to 2,203.72, 3,041.08 and 1,417.77 is: 1,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.72 : 3,041.08 = 1,417.77 : x
  2. Step 2: Convert to fraction form
    2,203.72/3,041.08 = 1,417.77/x
  3. Step 3: Cross multiply
    2,203.72x = 3,041.08 × 1,417.77
  4. Step 4: Simplify right side
    2,203.72x = 4,311,536.79
  5. Step 5: Solve for x
    x = 4,311,536.79/2,203.72
  6. Step 6: Final answer
    x = 1,956.48

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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.