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Finding the Fourth Proportional to 2,165.57, 2,988.82 and 1,421.69

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Solution

The fourth proportional to 2,165.57, 2,988.82 and 1,421.69 is: 1,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.57 : 2,988.82 = 1,421.69 : x
  2. Step 2: Convert to fraction form
    2,165.57/2,988.82 = 1,421.69/x
  3. Step 3: Cross multiply
    2,165.57x = 2,988.82 × 1,421.69
  4. Step 4: Simplify right side
    2,165.57x = 4,249,162.34
  5. Step 5: Solve for x
    x = 4,249,162.34/2,165.57
  6. Step 6: Final answer
    x = 1,962.15

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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.