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Finding the Fourth Proportional to 2,345.07, 3,514.93 and 784.70

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Solution

The fourth proportional to 2,345.07, 3,514.93 and 784.70 is: 1,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.07 : 3,514.93 = 784.70 : x
  2. Step 2: Convert to fraction form
    2,345.07/3,514.93 = 784.70/x
  3. Step 3: Cross multiply
    2,345.07x = 3,514.93 × 784.70
  4. Step 4: Simplify right side
    2,345.07x = 2,758,165.57
  5. Step 5: Solve for x
    x = 2,758,165.57/2,345.07
  6. Step 6: Final answer
    x = 1,176.15

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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.