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Finding the Fourth Proportional to 1,873.65, 2,585.86 and 1,127.98

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Solution

The fourth proportional to 1,873.65, 2,585.86 and 1,127.98 is: 1,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.65 : 2,585.86 = 1,127.98 : x
  2. Step 2: Convert to fraction form
    1,873.65/2,585.86 = 1,127.98/x
  3. Step 3: Cross multiply
    1,873.65x = 2,585.86 × 1,127.98
  4. Step 4: Simplify right side
    1,873.65x = 2,916,798.36
  5. Step 5: Solve for x
    x = 2,916,798.36/1,873.65
  6. Step 6: Final answer
    x = 1,556.75

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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.