Home / 1,574.64-2,348.19-1,537.38

Finding the Fourth Proportional to 1,574.64, 2,348.19 and 1,537.38

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Solution

The fourth proportional to 1,574.64, 2,348.19 and 1,537.38 is: 2,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.64 : 2,348.19 = 1,537.38 : x
  2. Step 2: Convert to fraction form
    1,574.64/2,348.19 = 1,537.38/x
  3. Step 3: Cross multiply
    1,574.64x = 2,348.19 × 1,537.38
  4. Step 4: Simplify right side
    1,574.64x = 3,610,060.34
  5. Step 5: Solve for x
    x = 3,610,060.34/1,574.64
  6. Step 6: Final answer
    x = 2,292.63

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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.