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Finding the Fourth Proportional to 2,582.88, 3,875.36 and 1,044

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Solution

The fourth proportional to 2,582.88, 3,875.36 and 1,044 is: 1,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.88 : 3,875.36 = 1,044 : x
  2. Step 2: Convert to fraction form
    2,582.88/3,875.36 = 1,044/x
  3. Step 3: Cross multiply
    2,582.88x = 3,875.36 × 1,044
  4. Step 4: Simplify right side
    2,582.88x = 4,045,875.84
  5. Step 5: Solve for x
    x = 4,045,875.84/2,582.88
  6. Step 6: Final answer
    x = 1,566.42

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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.