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Finding the Fourth Proportional to 2,681.34, 4,017 and 1,582.44

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Solution

The fourth proportional to 2,681.34, 4,017 and 1,582.44 is: 2,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.34 : 4,017 = 1,582.44 : x
  2. Step 2: Convert to fraction form
    2,681.34/4,017 = 1,582.44/x
  3. Step 3: Cross multiply
    2,681.34x = 4,017 × 1,582.44
  4. Step 4: Simplify right side
    2,681.34x = 6,356,661.48
  5. Step 5: Solve for x
    x = 6,356,661.48/2,681.34
  6. Step 6: Final answer
    x = 2,370.70

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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.