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Finding the Fourth Proportional to 1,873.41, 2,810.24 and 777.86

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Solution

The fourth proportional to 1,873.41, 2,810.24 and 777.86 is: 1,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.41 : 2,810.24 = 777.86 : x
  2. Step 2: Convert to fraction form
    1,873.41/2,810.24 = 777.86/x
  3. Step 3: Cross multiply
    1,873.41x = 2,810.24 × 777.86
  4. Step 4: Simplify right side
    1,873.41x = 2,185,973.29
  5. Step 5: Solve for x
    x = 2,185,973.29/1,873.41
  6. Step 6: Final answer
    x = 1,166.84

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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.