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Finding the Fourth Proportional to 1,259.12, 1,737.80 and 1,203.77

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Solution

The fourth proportional to 1,259.12, 1,737.80 and 1,203.77 is: 1,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.12 : 1,737.80 = 1,203.77 : x
  2. Step 2: Convert to fraction form
    1,259.12/1,737.80 = 1,203.77/x
  3. Step 3: Cross multiply
    1,259.12x = 1,737.80 × 1,203.77
  4. Step 4: Simplify right side
    1,259.12x = 2,091,901.31
  5. Step 5: Solve for x
    x = 2,091,901.31/1,259.12
  6. Step 6: Final answer
    x = 1,661.41

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