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Finding the Fourth Proportional to 1,858.52, 2,564.65 and 1,195.13

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Solution

The fourth proportional to 1,858.52, 2,564.65 and 1,195.13 is: 1,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.52 : 2,564.65 = 1,195.13 : x
  2. Step 2: Convert to fraction form
    1,858.52/2,564.65 = 1,195.13/x
  3. Step 3: Cross multiply
    1,858.52x = 2,564.65 × 1,195.13
  4. Step 4: Simplify right side
    1,858.52x = 3,065,090.15
  5. Step 5: Solve for x
    x = 3,065,090.15/1,858.52
  6. Step 6: Final answer
    x = 1,649.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.