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Finding the Fourth Proportional to 1,687.37, 2,330.84 and 1,530.18

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Solution

The fourth proportional to 1,687.37, 2,330.84 and 1,530.18 is: 2,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.37 : 2,330.84 = 1,530.18 : x
  2. Step 2: Convert to fraction form
    1,687.37/2,330.84 = 1,530.18/x
  3. Step 3: Cross multiply
    1,687.37x = 2,330.84 × 1,530.18
  4. Step 4: Simplify right side
    1,687.37x = 3,566,591.23
  5. Step 5: Solve for x
    x = 3,566,591.23/1,687.37
  6. Step 6: Final answer
    x = 2,113.70

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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.