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Finding the Fourth Proportional to 2,392.98, 3,302.63 and 1,345.05

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Solution

The fourth proportional to 2,392.98, 3,302.63 and 1,345.05 is: 1,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.98 : 3,302.63 = 1,345.05 : x
  2. Step 2: Convert to fraction form
    2,392.98/3,302.63 = 1,345.05/x
  3. Step 3: Cross multiply
    2,392.98x = 3,302.63 × 1,345.05
  4. Step 4: Simplify right side
    2,392.98x = 4,442,195.76
  5. Step 5: Solve for x
    x = 4,442,195.76/2,392.98
  6. Step 6: Final answer
    x = 1,856.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.