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Finding the Fourth Proportional to 1,348.60, 2,019.64 and 1,024.60

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Solution

The fourth proportional to 1,348.60, 2,019.64 and 1,024.60 is: 1,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.60 : 2,019.64 = 1,024.60 : x
  2. Step 2: Convert to fraction form
    1,348.60/2,019.64 = 1,024.60/x
  3. Step 3: Cross multiply
    1,348.60x = 2,019.64 × 1,024.60
  4. Step 4: Simplify right side
    1,348.60x = 2,069,323.14
  5. Step 5: Solve for x
    x = 2,069,323.14/1,348.60
  6. Step 6: Final answer
    x = 1,534.42

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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.