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Finding the Fourth Proportional to 3,089.47, 4,264.17 and 1,970.19

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Solution

The fourth proportional to 3,089.47, 4,264.17 and 1,970.19 is: 2,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.47 : 4,264.17 = 1,970.19 : x
  2. Step 2: Convert to fraction form
    3,089.47/4,264.17 = 1,970.19/x
  3. Step 3: Cross multiply
    3,089.47x = 4,264.17 × 1,970.19
  4. Step 4: Simplify right side
    3,089.47x = 8,401,225.09
  5. Step 5: Solve for x
    x = 8,401,225.09/3,089.47
  6. Step 6: Final answer
    x = 2,719.31

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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.