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Finding the Fourth Proportional to 4,652.95, 6,980.07 and 1,365.58

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Solution

The fourth proportional to 4,652.95, 6,980.07 and 1,365.58 is: 2,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.95 : 6,980.07 = 1,365.58 : x
  2. Step 2: Convert to fraction form
    4,652.95/6,980.07 = 1,365.58/x
  3. Step 3: Cross multiply
    4,652.95x = 6,980.07 × 1,365.58
  4. Step 4: Simplify right side
    4,652.95x = 9,531,843.99
  5. Step 5: Solve for x
    x = 9,531,843.99/4,652.95
  6. Step 6: Final answer
    x = 2,048.56

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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.