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Finding the Fourth Proportional to 2,985.42, 4,475.16 and 1,230.15

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Solution

The fourth proportional to 2,985.42, 4,475.16 and 1,230.15 is: 1,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.42 : 4,475.16 = 1,230.15 : x
  2. Step 2: Convert to fraction form
    2,985.42/4,475.16 = 1,230.15/x
  3. Step 3: Cross multiply
    2,985.42x = 4,475.16 × 1,230.15
  4. Step 4: Simplify right side
    2,985.42x = 5,505,118.07
  5. Step 5: Solve for x
    x = 5,505,118.07/2,985.42
  6. Step 6: Final answer
    x = 1,844.00

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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.