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Finding the Fourth Proportional to 1,989.01, 2,985.68 and 1,256.77

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Solution

The fourth proportional to 1,989.01, 2,985.68 and 1,256.77 is: 1,886.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.01 : 2,985.68 = 1,256.77 : x
  2. Step 2: Convert to fraction form
    1,989.01/2,985.68 = 1,256.77/x
  3. Step 3: Cross multiply
    1,989.01x = 2,985.68 × 1,256.77
  4. Step 4: Simplify right side
    1,989.01x = 3,752,313.05
  5. Step 5: Solve for x
    x = 3,752,313.05/1,989.01
  6. Step 6: Final answer
    x = 1,886.52

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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.