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Finding the Fourth Proportional to 2,858.86, 4,288.95 and 1,215.46

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Solution

The fourth proportional to 2,858.86, 4,288.95 and 1,215.46 is: 1,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.86 : 4,288.95 = 1,215.46 : x
  2. Step 2: Convert to fraction form
    2,858.86/4,288.95 = 1,215.46/x
  3. Step 3: Cross multiply
    2,858.86x = 4,288.95 × 1,215.46
  4. Step 4: Simplify right side
    2,858.86x = 5,213,047.17
  5. Step 5: Solve for x
    x = 5,213,047.17/2,858.86
  6. Step 6: Final answer
    x = 1,823.47

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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.