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Finding the Fourth Proportional to 2,115.02, 3,172.68 and 654.20

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Solution

The fourth proportional to 2,115.02, 3,172.68 and 654.20 is: 981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.02 : 3,172.68 = 654.20 : x
  2. Step 2: Convert to fraction form
    2,115.02/3,172.68 = 654.20/x
  3. Step 3: Cross multiply
    2,115.02x = 3,172.68 × 654.20
  4. Step 4: Simplify right side
    2,115.02x = 2,075,567.26
  5. Step 5: Solve for x
    x = 2,075,567.26/2,115.02
  6. Step 6: Final answer
    x = 981.35

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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.