Home / 2,148.24-2,964.36-1,216.08

Finding the Fourth Proportional to 2,148.24, 2,964.36 and 1,216.08

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Solution

The fourth proportional to 2,148.24, 2,964.36 and 1,216.08 is: 1,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.24 : 2,964.36 = 1,216.08 : x
  2. Step 2: Convert to fraction form
    2,148.24/2,964.36 = 1,216.08/x
  3. Step 3: Cross multiply
    2,148.24x = 2,964.36 × 1,216.08
  4. Step 4: Simplify right side
    2,148.24x = 3,604,898.91
  5. Step 5: Solve for x
    x = 3,604,898.91/2,148.24
  6. Step 6: Final answer
    x = 1,678.07

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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.