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Finding the Fourth Proportional to 2,897.89, 4,345.62 and 1,142.62

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Solution

The fourth proportional to 2,897.89, 4,345.62 and 1,142.62 is: 1,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.89 : 4,345.62 = 1,142.62 : x
  2. Step 2: Convert to fraction form
    2,897.89/4,345.62 = 1,142.62/x
  3. Step 3: Cross multiply
    2,897.89x = 4,345.62 × 1,142.62
  4. Step 4: Simplify right side
    2,897.89x = 4,965,392.32
  5. Step 5: Solve for x
    x = 4,965,392.32/2,897.89
  6. Step 6: Final answer
    x = 1,713.45

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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.