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Finding the Fourth Proportional to 1,549.35, 2,137.83 and 877.15

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Solution

The fourth proportional to 1,549.35, 2,137.83 and 877.15 is: 1,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.35 : 2,137.83 = 877.15 : x
  2. Step 2: Convert to fraction form
    1,549.35/2,137.83 = 877.15/x
  3. Step 3: Cross multiply
    1,549.35x = 2,137.83 × 877.15
  4. Step 4: Simplify right side
    1,549.35x = 1,875,197.58
  5. Step 5: Solve for x
    x = 1,875,197.58/1,549.35
  6. Step 6: Final answer
    x = 1,210.31

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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.