Home / 1,564.41-2,158.88-974.91

Finding the Fourth Proportional to 1,564.41, 2,158.88 and 974.91

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Solution

The fourth proportional to 1,564.41, 2,158.88 and 974.91 is: 1,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.41 : 2,158.88 = 974.91 : x
  2. Step 2: Convert to fraction form
    1,564.41/2,158.88 = 974.91/x
  3. Step 3: Cross multiply
    1,564.41x = 2,158.88 × 974.91
  4. Step 4: Simplify right side
    1,564.41x = 2,104,708.83
  5. Step 5: Solve for x
    x = 2,104,708.83/1,564.41
  6. Step 6: Final answer
    x = 1,345.37

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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.