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Finding the Fourth Proportional to 1,653.57, 2,281.73 and 981.27

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Solution

The fourth proportional to 1,653.57, 2,281.73 and 981.27 is: 1,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.57 : 2,281.73 = 981.27 : x
  2. Step 2: Convert to fraction form
    1,653.57/2,281.73 = 981.27/x
  3. Step 3: Cross multiply
    1,653.57x = 2,281.73 × 981.27
  4. Step 4: Simplify right side
    1,653.57x = 2,238,988.29
  5. Step 5: Solve for x
    x = 2,238,988.29/1,653.57
  6. Step 6: Final answer
    x = 1,354.03

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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.