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Finding the Fourth Proportional to 2,689.48, 4,034.13 and 1,210.06

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Solution

The fourth proportional to 2,689.48, 4,034.13 and 1,210.06 is: 1,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.48 : 4,034.13 = 1,210.06 : x
  2. Step 2: Convert to fraction form
    2,689.48/4,034.13 = 1,210.06/x
  3. Step 3: Cross multiply
    2,689.48x = 4,034.13 × 1,210.06
  4. Step 4: Simplify right side
    2,689.48x = 4,881,539.35
  5. Step 5: Solve for x
    x = 4,881,539.35/2,689.48
  6. Step 6: Final answer
    x = 1,815.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.