Home / 1,430.34-1,975.76-1,102.87

Finding the Fourth Proportional to 1,430.34, 1,975.76 and 1,102.87

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Solution

The fourth proportional to 1,430.34, 1,975.76 and 1,102.87 is: 1,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.34 : 1,975.76 = 1,102.87 : x
  2. Step 2: Convert to fraction form
    1,430.34/1,975.76 = 1,102.87/x
  3. Step 3: Cross multiply
    1,430.34x = 1,975.76 × 1,102.87
  4. Step 4: Simplify right side
    1,430.34x = 2,179,006.43
  5. Step 5: Solve for x
    x = 2,179,006.43/1,430.34
  6. Step 6: Final answer
    x = 1,523.42

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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.