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Finding the Fourth Proportional to 1,816.52, 2,506.02 and 1,421.96

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Solution

The fourth proportional to 1,816.52, 2,506.02 and 1,421.96 is: 1,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.52 : 2,506.02 = 1,421.96 : x
  2. Step 2: Convert to fraction form
    1,816.52/2,506.02 = 1,421.96/x
  3. Step 3: Cross multiply
    1,816.52x = 2,506.02 × 1,421.96
  4. Step 4: Simplify right side
    1,816.52x = 3,563,460.20
  5. Step 5: Solve for x
    x = 3,563,460.20/1,816.52
  6. Step 6: Final answer
    x = 1,961.70

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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.