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Finding the Fourth Proportional to 1,810.39, 2,716.10 and 933.53

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Solution

The fourth proportional to 1,810.39, 2,716.10 and 933.53 is: 1,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.39 : 2,716.10 = 933.53 : x
  2. Step 2: Convert to fraction form
    1,810.39/2,716.10 = 933.53/x
  3. Step 3: Cross multiply
    1,810.39x = 2,716.10 × 933.53
  4. Step 4: Simplify right side
    1,810.39x = 2,535,552.77
  5. Step 5: Solve for x
    x = 2,535,552.77/1,810.39
  6. Step 6: Final answer
    x = 1,400.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.