Home / 1,430.26-2,128.49-1,378.42

Finding the Fourth Proportional to 1,430.26, 2,128.49 and 1,378.42

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Solution

The fourth proportional to 1,430.26, 2,128.49 and 1,378.42 is: 2,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.26 : 2,128.49 = 1,378.42 : x
  2. Step 2: Convert to fraction form
    1,430.26/2,128.49 = 1,378.42/x
  3. Step 3: Cross multiply
    1,430.26x = 2,128.49 × 1,378.42
  4. Step 4: Simplify right side
    1,430.26x = 2,933,953.19
  5. Step 5: Solve for x
    x = 2,933,953.19/1,430.26
  6. Step 6: Final answer
    x = 2,051.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.