Home / 2,312.74-3,466.68-1,582.12

Finding the Fourth Proportional to 2,312.74, 3,466.68 and 1,582.12

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Solution

The fourth proportional to 2,312.74, 3,466.68 and 1,582.12 is: 2,371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.74 : 3,466.68 = 1,582.12 : x
  2. Step 2: Convert to fraction form
    2,312.74/3,466.68 = 1,582.12/x
  3. Step 3: Cross multiply
    2,312.74x = 3,466.68 × 1,582.12
  4. Step 4: Simplify right side
    2,312.74x = 5,484,703.76
  5. Step 5: Solve for x
    x = 5,484,703.76/2,312.74
  6. Step 6: Final answer
    x = 2,371.52

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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.