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Finding the Fourth Proportional to 3,156.45, 4,355.71 and 1,740.06

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Solution

The fourth proportional to 3,156.45, 4,355.71 and 1,740.06 is: 2,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.45 : 4,355.71 = 1,740.06 : x
  2. Step 2: Convert to fraction form
    3,156.45/4,355.71 = 1,740.06/x
  3. Step 3: Cross multiply
    3,156.45x = 4,355.71 × 1,740.06
  4. Step 4: Simplify right side
    3,156.45x = 7,579,205.46
  5. Step 5: Solve for x
    x = 7,579,205.46/3,156.45
  6. Step 6: Final answer
    x = 2,401.18

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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.