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Finding the Fourth Proportional to 1,709.60, 2,363.01 and 1,559.66

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Solution

The fourth proportional to 1,709.60, 2,363.01 and 1,559.66 is: 2,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.60 : 2,363.01 = 1,559.66 : x
  2. Step 2: Convert to fraction form
    1,709.60/2,363.01 = 1,559.66/x
  3. Step 3: Cross multiply
    1,709.60x = 2,363.01 × 1,559.66
  4. Step 4: Simplify right side
    1,709.60x = 3,685,492.18
  5. Step 5: Solve for x
    x = 3,685,492.18/1,709.60
  6. Step 6: Final answer
    x = 2,155.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.