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Finding the Fourth Proportional to 2,348.14, 3,518.72 and 1,030.68

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Solution

The fourth proportional to 2,348.14, 3,518.72 and 1,030.68 is: 1,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.14 : 3,518.72 = 1,030.68 : x
  2. Step 2: Convert to fraction form
    2,348.14/3,518.72 = 1,030.68/x
  3. Step 3: Cross multiply
    2,348.14x = 3,518.72 × 1,030.68
  4. Step 4: Simplify right side
    2,348.14x = 3,626,674.33
  5. Step 5: Solve for x
    x = 3,626,674.33/2,348.14
  6. Step 6: Final answer
    x = 1,544.49

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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.