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Finding the Fourth Proportional to 3,031.56, 4,184.40 and 1,773

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Solution

The fourth proportional to 3,031.56, 4,184.40 and 1,773 is: 2,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.56 : 4,184.40 = 1,773 : x
  2. Step 2: Convert to fraction form
    3,031.56/4,184.40 = 1,773/x
  3. Step 3: Cross multiply
    3,031.56x = 4,184.40 × 1,773
  4. Step 4: Simplify right side
    3,031.56x = 7,418,941.20
  5. Step 5: Solve for x
    x = 7,418,941.20/3,031.56
  6. Step 6: Final answer
    x = 2,447.24

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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.