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Finding the Fourth Proportional to 2,893.78, 4,339.59 and 945.46

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Solution

The fourth proportional to 2,893.78, 4,339.59 and 945.46 is: 1,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.78 : 4,339.59 = 945.46 : x
  2. Step 2: Convert to fraction form
    2,893.78/4,339.59 = 945.46/x
  3. Step 3: Cross multiply
    2,893.78x = 4,339.59 × 945.46
  4. Step 4: Simplify right side
    2,893.78x = 4,102,908.76
  5. Step 5: Solve for x
    x = 4,102,908.76/2,893.78
  6. Step 6: Final answer
    x = 1,417.84

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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.