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Finding the Fourth Proportional to 2,894.95, 4,342.65 and 1,046.06

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Solution

The fourth proportional to 2,894.95, 4,342.65 and 1,046.06 is: 1,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.95 : 4,342.65 = 1,046.06 : x
  2. Step 2: Convert to fraction form
    2,894.95/4,342.65 = 1,046.06/x
  3. Step 3: Cross multiply
    2,894.95x = 4,342.65 × 1,046.06
  4. Step 4: Simplify right side
    2,894.95x = 4,542,663.11
  5. Step 5: Solve for x
    x = 4,542,663.11/2,894.95
  6. Step 6: Final answer
    x = 1,569.17

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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.