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Finding the Fourth Proportional to 1,218.16, 1,827.24 and 670.60

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Solution

The fourth proportional to 1,218.16, 1,827.24 and 670.60 is: 1,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.16 : 1,827.24 = 670.60 : x
  2. Step 2: Convert to fraction form
    1,218.16/1,827.24 = 670.60/x
  3. Step 3: Cross multiply
    1,218.16x = 1,827.24 × 670.60
  4. Step 4: Simplify right side
    1,218.16x = 1,225,347.14
  5. Step 5: Solve for x
    x = 1,225,347.14/1,218.16
  6. Step 6: Final answer
    x = 1,005.90

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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.