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Finding the Fourth Proportional to 1,889.61, 2,830.77 and 1,581

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Solution

The fourth proportional to 1,889.61, 2,830.77 and 1,581 is: 2,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.61 : 2,830.77 = 1,581 : x
  2. Step 2: Convert to fraction form
    1,889.61/2,830.77 = 1,581/x
  3. Step 3: Cross multiply
    1,889.61x = 2,830.77 × 1,581
  4. Step 4: Simplify right side
    1,889.61x = 4,475,447.37
  5. Step 5: Solve for x
    x = 4,475,447.37/1,889.61
  6. Step 6: Final answer
    x = 2,368.45

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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.