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Finding the Fourth Proportional to 2,929.74, 4,041.18 and 2,045.22

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Solution

The fourth proportional to 2,929.74, 4,041.18 and 2,045.22 is: 2,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.74 : 4,041.18 = 2,045.22 : x
  2. Step 2: Convert to fraction form
    2,929.74/4,041.18 = 2,045.22/x
  3. Step 3: Cross multiply
    2,929.74x = 4,041.18 × 2,045.22
  4. Step 4: Simplify right side
    2,929.74x = 8,265,091.93
  5. Step 5: Solve for x
    x = 8,265,091.93/2,929.74
  6. Step 6: Final answer
    x = 2,821.10

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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.