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Finding the Fourth Proportional to 1,756.05, 2,618.10 and 1,558.84

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Solution

The fourth proportional to 1,756.05, 2,618.10 and 1,558.84 is: 2,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.05 : 2,618.10 = 1,558.84 : x
  2. Step 2: Convert to fraction form
    1,756.05/2,618.10 = 1,558.84/x
  3. Step 3: Cross multiply
    1,756.05x = 2,618.10 × 1,558.84
  4. Step 4: Simplify right side
    1,756.05x = 4,081,178.12
  5. Step 5: Solve for x
    x = 4,081,178.12/1,756.05
  6. Step 6: Final answer
    x = 2,324.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.