Home / 1,427.48-1,970.36-929.24

Finding the Fourth Proportional to 1,427.48, 1,970.36 and 929.24

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Solution

The fourth proportional to 1,427.48, 1,970.36 and 929.24 is: 1,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.48 : 1,970.36 = 929.24 : x
  2. Step 2: Convert to fraction form
    1,427.48/1,970.36 = 929.24/x
  3. Step 3: Cross multiply
    1,427.48x = 1,970.36 × 929.24
  4. Step 4: Simplify right side
    1,427.48x = 1,830,937.33
  5. Step 5: Solve for x
    x = 1,830,937.33/1,427.48
  6. Step 6: Final answer
    x = 1,282.64

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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.