Home / 1,588.16-2,177.14-1,562.64

Finding the Fourth Proportional to 1,588.16, 2,177.14 and 1,562.64

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Solution

The fourth proportional to 1,588.16, 2,177.14 and 1,562.64 is: 2,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.16 : 2,177.14 = 1,562.64 : x
  2. Step 2: Convert to fraction form
    1,588.16/2,177.14 = 1,562.64/x
  3. Step 3: Cross multiply
    1,588.16x = 2,177.14 × 1,562.64
  4. Step 4: Simplify right side
    1,588.16x = 3,402,086.05
  5. Step 5: Solve for x
    x = 3,402,086.05/1,588.16
  6. Step 6: Final answer
    x = 2,142.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.