Home / 1,537.10-2,121.29-907.66

Finding the Fourth Proportional to 1,537.10, 2,121.29 and 907.66

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Solution

The fourth proportional to 1,537.10, 2,121.29 and 907.66 is: 1,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.10 : 2,121.29 = 907.66 : x
  2. Step 2: Convert to fraction form
    1,537.10/2,121.29 = 907.66/x
  3. Step 3: Cross multiply
    1,537.10x = 2,121.29 × 907.66
  4. Step 4: Simplify right side
    1,537.10x = 1,925,410.08
  5. Step 5: Solve for x
    x = 1,925,410.08/1,537.10
  6. Step 6: Final answer
    x = 1,252.63

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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.