Home / 1,537.84-2,317.14-1,269.94

Finding the Fourth Proportional to 1,537.84, 2,317.14 and 1,269.94

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Solution

The fourth proportional to 1,537.84, 2,317.14 and 1,269.94 is: 1,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.84 : 2,317.14 = 1,269.94 : x
  2. Step 2: Convert to fraction form
    1,537.84/2,317.14 = 1,269.94/x
  3. Step 3: Cross multiply
    1,537.84x = 2,317.14 × 1,269.94
  4. Step 4: Simplify right side
    1,537.84x = 2,942,628.77
  5. Step 5: Solve for x
    x = 2,942,628.77/1,537.84
  6. Step 6: Final answer
    x = 1,913.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.