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Finding the Fourth Proportional to 2,167.70, 2,988.23 and 1,536.26

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Solution

The fourth proportional to 2,167.70, 2,988.23 and 1,536.26 is: 2,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.70 : 2,988.23 = 1,536.26 : x
  2. Step 2: Convert to fraction form
    2,167.70/2,988.23 = 1,536.26/x
  3. Step 3: Cross multiply
    2,167.70x = 2,988.23 × 1,536.26
  4. Step 4: Simplify right side
    2,167.70x = 4,590,675.60
  5. Step 5: Solve for x
    x = 4,590,675.60/2,167.70
  6. Step 6: Final answer
    x = 2,117.77

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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.