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Finding the Fourth Proportional to 2,564.58, 3,532.86 and 2,232.42

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Solution

The fourth proportional to 2,564.58, 3,532.86 and 2,232.42 is: 3,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.58 : 3,532.86 = 2,232.42 : x
  2. Step 2: Convert to fraction form
    2,564.58/3,532.86 = 2,232.42/x
  3. Step 3: Cross multiply
    2,564.58x = 3,532.86 × 2,232.42
  4. Step 4: Simplify right side
    2,564.58x = 7,886,827.32
  5. Step 5: Solve for x
    x = 7,886,827.32/2,564.58
  6. Step 6: Final answer
    x = 3,075.29

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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.