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Finding the Fourth Proportional to 2,031.96, 2,802.84 and 1,235.16

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Solution

The fourth proportional to 2,031.96, 2,802.84 and 1,235.16 is: 1,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.96 : 2,802.84 = 1,235.16 : x
  2. Step 2: Convert to fraction form
    2,031.96/2,802.84 = 1,235.16/x
  3. Step 3: Cross multiply
    2,031.96x = 2,802.84 × 1,235.16
  4. Step 4: Simplify right side
    2,031.96x = 3,461,955.85
  5. Step 5: Solve for x
    x = 3,461,955.85/2,031.96
  6. Step 6: Final answer
    x = 1,703.75

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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.