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Finding the Fourth Proportional to 1,401.59, 2,101.93 and 579.95

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Solution

The fourth proportional to 1,401.59, 2,101.93 and 579.95 is: 869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.59 : 2,101.93 = 579.95 : x
  2. Step 2: Convert to fraction form
    1,401.59/2,101.93 = 579.95/x
  3. Step 3: Cross multiply
    1,401.59x = 2,101.93 × 579.95
  4. Step 4: Simplify right side
    1,401.59x = 1,219,014.30
  5. Step 5: Solve for x
    x = 1,219,014.30/1,401.59
  6. Step 6: Final answer
    x = 869.74

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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.