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Finding the Fourth Proportional to 1,810.24, 2,714.34 and 577.36

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Solution

The fourth proportional to 1,810.24, 2,714.34 and 577.36 is: 865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.24 : 2,714.34 = 577.36 : x
  2. Step 2: Convert to fraction form
    1,810.24/2,714.34 = 577.36/x
  3. Step 3: Cross multiply
    1,810.24x = 2,714.34 × 577.36
  4. Step 4: Simplify right side
    1,810.24x = 1,567,151.34
  5. Step 5: Solve for x
    x = 1,567,151.34/1,810.24
  6. Step 6: Final answer
    x = 865.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.