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Finding the Fourth Proportional to 1,858.13, 2,564.22 and 1,159.50

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Solution

The fourth proportional to 1,858.13, 2,564.22 and 1,159.50 is: 1,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.13 : 2,564.22 = 1,159.50 : x
  2. Step 2: Convert to fraction form
    1,858.13/2,564.22 = 1,159.50/x
  3. Step 3: Cross multiply
    1,858.13x = 2,564.22 × 1,159.50
  4. Step 4: Simplify right side
    1,858.13x = 2,973,213.09
  5. Step 5: Solve for x
    x = 2,973,213.09/1,858.13
  6. Step 6: Final answer
    x = 1,600.11

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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.