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Finding the Fourth Proportional to 2,916.88, 4,373.50 and 968.63

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Solution

The fourth proportional to 2,916.88, 4,373.50 and 968.63 is: 1,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.88 : 4,373.50 = 968.63 : x
  2. Step 2: Convert to fraction form
    2,916.88/4,373.50 = 968.63/x
  3. Step 3: Cross multiply
    2,916.88x = 4,373.50 × 968.63
  4. Step 4: Simplify right side
    2,916.88x = 4,236,303.31
  5. Step 5: Solve for x
    x = 4,236,303.31/2,916.88
  6. Step 6: Final answer
    x = 1,452.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.