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Finding the Fourth Proportional to 1,858.44, 2,564.64 and 1,328.16

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Solution

The fourth proportional to 1,858.44, 2,564.64 and 1,328.16 is: 1,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.44 : 2,564.64 = 1,328.16 : x
  2. Step 2: Convert to fraction form
    1,858.44/2,564.64 = 1,328.16/x
  3. Step 3: Cross multiply
    1,858.44x = 2,564.64 × 1,328.16
  4. Step 4: Simplify right side
    1,858.44x = 3,406,252.26
  5. Step 5: Solve for x
    x = 3,406,252.26/1,858.44
  6. Step 6: Final answer
    x = 1,832.86

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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.