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Finding the Fourth Proportional to 1,873.65, 2,810.23 and 575.01

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Solution

The fourth proportional to 1,873.65, 2,810.23 and 575.01 is: 862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.65 : 2,810.23 = 575.01 : x
  2. Step 2: Convert to fraction form
    1,873.65/2,810.23 = 575.01/x
  3. Step 3: Cross multiply
    1,873.65x = 2,810.23 × 575.01
  4. Step 4: Simplify right side
    1,873.65x = 1,615,894.86
  5. Step 5: Solve for x
    x = 1,615,894.86/1,873.65
  6. Step 6: Final answer
    x = 862.43

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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.