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Finding the Fourth Proportional to 2,345.34, 3,514.82 and 883.70

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Solution

The fourth proportional to 2,345.34, 3,514.82 and 883.70 is: 1,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.34 : 3,514.82 = 883.70 : x
  2. Step 2: Convert to fraction form
    2,345.34/3,514.82 = 883.70/x
  3. Step 3: Cross multiply
    2,345.34x = 3,514.82 × 883.70
  4. Step 4: Simplify right side
    2,345.34x = 3,106,024.44
  5. Step 5: Solve for x
    x = 3,106,024.44/2,345.34
  6. Step 6: Final answer
    x = 1,324.34

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1.5x scale

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.