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Finding the Fourth Proportional to 1,686.42, 2,530.04 and 820.53

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Solution

The fourth proportional to 1,686.42, 2,530.04 and 820.53 is: 1,230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.42 : 2,530.04 = 820.53 : x
  2. Step 2: Convert to fraction form
    1,686.42/2,530.04 = 820.53/x
  3. Step 3: Cross multiply
    1,686.42x = 2,530.04 × 820.53
  4. Step 4: Simplify right side
    1,686.42x = 2,075,969.62
  5. Step 5: Solve for x
    x = 2,075,969.62/1,686.42
  6. Step 6: Final answer
    x = 1,230.99

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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.