Home / 1,564.11-2,158.59-934.83

Finding the Fourth Proportional to 1,564.11, 2,158.59 and 934.83

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Solution

The fourth proportional to 1,564.11, 2,158.59 and 934.83 is: 1,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.11 : 2,158.59 = 934.83 : x
  2. Step 2: Convert to fraction form
    1,564.11/2,158.59 = 934.83/x
  3. Step 3: Cross multiply
    1,564.11x = 2,158.59 × 934.83
  4. Step 4: Simplify right side
    1,564.11x = 2,017,914.69
  5. Step 5: Solve for x
    x = 2,017,914.69/1,564.11
  6. Step 6: Final answer
    x = 1,290.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.