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Finding the Fourth Proportional to 2,364.87, 3,263.56 and 1,316.93

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Solution

The fourth proportional to 2,364.87, 3,263.56 and 1,316.93 is: 1,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.87 : 3,263.56 = 1,316.93 : x
  2. Step 2: Convert to fraction form
    2,364.87/3,263.56 = 1,316.93/x
  3. Step 3: Cross multiply
    2,364.87x = 3,263.56 × 1,316.93
  4. Step 4: Simplify right side
    2,364.87x = 4,297,888.00
  5. Step 5: Solve for x
    x = 4,297,888.00/2,364.87
  6. Step 6: Final answer
    x = 1,817.39

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Why These Related Problems?

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