Home / 1,577.34-2,176.38-1,053

Finding the Fourth Proportional to 1,577.34, 2,176.38 and 1,053

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Solution

The fourth proportional to 1,577.34, 2,176.38 and 1,053 is: 1,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.34 : 2,176.38 = 1,053 : x
  2. Step 2: Convert to fraction form
    1,577.34/2,176.38 = 1,053/x
  3. Step 3: Cross multiply
    1,577.34x = 2,176.38 × 1,053
  4. Step 4: Simplify right side
    1,577.34x = 2,291,728.14
  5. Step 5: Solve for x
    x = 2,291,728.14/1,577.34
  6. Step 6: Final answer
    x = 1,452.91

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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.