Home / 1,564.03-2,346.04-741.85

Finding the Fourth Proportional to 1,564.03, 2,346.04 and 741.85

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Solution

The fourth proportional to 1,564.03, 2,346.04 and 741.85 is: 1,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.03 : 2,346.04 = 741.85 : x
  2. Step 2: Convert to fraction form
    1,564.03/2,346.04 = 741.85/x
  3. Step 3: Cross multiply
    1,564.03x = 2,346.04 × 741.85
  4. Step 4: Simplify right side
    1,564.03x = 1,740,406.06
  5. Step 5: Solve for x
    x = 1,740,406.06/1,564.03
  6. Step 6: Final answer
    x = 1,112.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.