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Finding the Fourth Proportional to 2,393.84, 3,587.16 and 1,352.72

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Solution

The fourth proportional to 2,393.84, 3,587.16 and 1,352.72 is: 2,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.84 : 3,587.16 = 1,352.72 : x
  2. Step 2: Convert to fraction form
    2,393.84/3,587.16 = 1,352.72/x
  3. Step 3: Cross multiply
    2,393.84x = 3,587.16 × 1,352.72
  4. Step 4: Simplify right side
    2,393.84x = 4,852,423.08
  5. Step 5: Solve for x
    x = 4,852,423.08/2,393.84
  6. Step 6: Final answer
    x = 2,027.05

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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.