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Finding the Fourth Proportional to 2,842.02, 4,264.04 and 1,455.71

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Solution

The fourth proportional to 2,842.02, 4,264.04 and 1,455.71 is: 2,184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.02 : 4,264.04 = 1,455.71 : x
  2. Step 2: Convert to fraction form
    2,842.02/4,264.04 = 1,455.71/x
  3. Step 3: Cross multiply
    2,842.02x = 4,264.04 × 1,455.71
  4. Step 4: Simplify right side
    2,842.02x = 6,207,187.99
  5. Step 5: Solve for x
    x = 6,207,187.99/2,842.02
  6. Step 6: Final answer
    x = 2,184.08

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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.