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Finding the Fourth Proportional to 2,352.68, 3,529.06 and 2,210.12

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Solution

The fourth proportional to 2,352.68, 3,529.06 and 2,210.12 is: 3,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.68 : 3,529.06 = 2,210.12 : x
  2. Step 2: Convert to fraction form
    2,352.68/3,529.06 = 2,210.12/x
  3. Step 3: Cross multiply
    2,352.68x = 3,529.06 × 2,210.12
  4. Step 4: Simplify right side
    2,352.68x = 7,799,646.09
  5. Step 5: Solve for x
    x = 7,799,646.09/2,352.68
  6. Step 6: Final answer
    x = 3,315.22

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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.