Home / 1,623.36-2,430.24-1,074

Finding the Fourth Proportional to 1,623.36, 2,430.24 and 1,074

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Solution

The fourth proportional to 1,623.36, 2,430.24 and 1,074 is: 1,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.36 : 2,430.24 = 1,074 : x
  2. Step 2: Convert to fraction form
    1,623.36/2,430.24 = 1,074/x
  3. Step 3: Cross multiply
    1,623.36x = 2,430.24 × 1,074
  4. Step 4: Simplify right side
    1,623.36x = 2,610,077.76
  5. Step 5: Solve for x
    x = 2,610,077.76/1,623.36
  6. Step 6: Final answer
    x = 1,607.82

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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.