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Finding the Fourth Proportional to 1,894.08, 2,838.72 and 1,346.40

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Solution

The fourth proportional to 1,894.08, 2,838.72 and 1,346.40 is: 2,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.08 : 2,838.72 = 1,346.40 : x
  2. Step 2: Convert to fraction form
    1,894.08/2,838.72 = 1,346.40/x
  3. Step 3: Cross multiply
    1,894.08x = 2,838.72 × 1,346.40
  4. Step 4: Simplify right side
    1,894.08x = 3,822,052.61
  5. Step 5: Solve for x
    x = 3,822,052.61/1,894.08
  6. Step 6: Final answer
    x = 2,017.89

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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.