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Finding the Fourth Proportional to 1,873.23, 2,810.40 and 557.02

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Solution

The fourth proportional to 1,873.23, 2,810.40 and 557.02 is: 835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.23 : 2,810.40 = 557.02 : x
  2. Step 2: Convert to fraction form
    1,873.23/2,810.40 = 557.02/x
  3. Step 3: Cross multiply
    1,873.23x = 2,810.40 × 557.02
  4. Step 4: Simplify right side
    1,873.23x = 1,565,456.03
  5. Step 5: Solve for x
    x = 1,565,456.03/1,873.23
  6. Step 6: Final answer
    x = 835.70

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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.