Home / 1,592.51-2,386.60-769.14

Finding the Fourth Proportional to 1,592.51, 2,386.60 and 769.14

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Solution

The fourth proportional to 1,592.51, 2,386.60 and 769.14 is: 1,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.51 : 2,386.60 = 769.14 : x
  2. Step 2: Convert to fraction form
    1,592.51/2,386.60 = 769.14/x
  3. Step 3: Cross multiply
    1,592.51x = 2,386.60 × 769.14
  4. Step 4: Simplify right side
    1,592.51x = 1,835,627.60
  5. Step 5: Solve for x
    x = 1,835,627.60/1,592.51
  6. Step 6: Final answer
    x = 1,152.67

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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.