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Finding the Fourth Proportional to 2,897.94, 4,346.89 and 2,036.10

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Solution

The fourth proportional to 2,897.94, 4,346.89 and 2,036.10 is: 3,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.94 : 4,346.89 = 2,036.10 : x
  2. Step 2: Convert to fraction form
    2,897.94/4,346.89 = 2,036.10/x
  3. Step 3: Cross multiply
    2,897.94x = 4,346.89 × 2,036.10
  4. Step 4: Simplify right side
    2,897.94x = 8,850,702.73
  5. Step 5: Solve for x
    x = 8,850,702.73/2,897.94
  6. Step 6: Final answer
    x = 3,054.14

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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.