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Finding the Fourth Proportional to 3,031.95, 4,184.01 and 1,705.95

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Solution

The fourth proportional to 3,031.95, 4,184.01 and 1,705.95 is: 2,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.95 : 4,184.01 = 1,705.95 : x
  2. Step 2: Convert to fraction form
    3,031.95/4,184.01 = 1,705.95/x
  3. Step 3: Cross multiply
    3,031.95x = 4,184.01 × 1,705.95
  4. Step 4: Simplify right side
    3,031.95x = 7,137,711.86
  5. Step 5: Solve for x
    x = 7,137,711.86/3,031.95
  6. Step 6: Final answer
    x = 2,354.17

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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.