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Finding the Fourth Proportional to 2,809.06, 4,210.76 and 2,316.98

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Solution

The fourth proportional to 2,809.06, 4,210.76 and 2,316.98 is: 3,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.06 : 4,210.76 = 2,316.98 : x
  2. Step 2: Convert to fraction form
    2,809.06/4,210.76 = 2,316.98/x
  3. Step 3: Cross multiply
    2,809.06x = 4,210.76 × 2,316.98
  4. Step 4: Simplify right side
    2,809.06x = 9,756,263.02
  5. Step 5: Solve for x
    x = 9,756,263.02/2,809.06
  6. Step 6: Final answer
    x = 3,473.14

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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.