Home / 1,430.02-2,145.45-942.49

Finding the Fourth Proportional to 1,430.02, 2,145.45 and 942.49

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Solution

The fourth proportional to 1,430.02, 2,145.45 and 942.49 is: 1,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.02 : 2,145.45 = 942.49 : x
  2. Step 2: Convert to fraction form
    1,430.02/2,145.45 = 942.49/x
  3. Step 3: Cross multiply
    1,430.02x = 2,145.45 × 942.49
  4. Step 4: Simplify right side
    1,430.02x = 2,022,065.17
  5. Step 5: Solve for x
    x = 2,022,065.17/1,430.02
  6. Step 6: Final answer
    x = 1,414.01

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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.