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Finding the Fourth Proportional to 1,918.76, 2,875.77 and 877.28

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Solution

The fourth proportional to 1,918.76, 2,875.77 and 877.28 is: 1,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.76 : 2,875.77 = 877.28 : x
  2. Step 2: Convert to fraction form
    1,918.76/2,875.77 = 877.28/x
  3. Step 3: Cross multiply
    1,918.76x = 2,875.77 × 877.28
  4. Step 4: Simplify right side
    1,918.76x = 2,522,841.13
  5. Step 5: Solve for x
    x = 2,522,841.13/1,918.76
  6. Step 6: Final answer
    x = 1,314.83

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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.