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Finding the Fourth Proportional to 1,539.09, 2,123.96 and 875.95

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Solution

The fourth proportional to 1,539.09, 2,123.96 and 875.95 is: 1,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.09 : 2,123.96 = 875.95 : x
  2. Step 2: Convert to fraction form
    1,539.09/2,123.96 = 875.95/x
  3. Step 3: Cross multiply
    1,539.09x = 2,123.96 × 875.95
  4. Step 4: Simplify right side
    1,539.09x = 1,860,473.07
  5. Step 5: Solve for x
    x = 1,860,473.07/1,539.09
  6. Step 6: Final answer
    x = 1,208.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.