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Finding the Fourth Proportional to 2,806.05, 4,210.29 and 1,506

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Solution

The fourth proportional to 2,806.05, 4,210.29 and 1,506 is: 2,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.05 : 4,210.29 = 1,506 : x
  2. Step 2: Convert to fraction form
    2,806.05/4,210.29 = 1,506/x
  3. Step 3: Cross multiply
    2,806.05x = 4,210.29 × 1,506
  4. Step 4: Simplify right side
    2,806.05x = 6,340,696.74
  5. Step 5: Solve for x
    x = 6,340,696.74/2,806.05
  6. Step 6: Final answer
    x = 2,259.65

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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.