Home / 1,973.84-2,964.85-1,565.83

Finding the Fourth Proportional to 1,973.84, 2,964.85 and 1,565.83

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Solution

The fourth proportional to 1,973.84, 2,964.85 and 1,565.83 is: 2,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.84 : 2,964.85 = 1,565.83 : x
  2. Step 2: Convert to fraction form
    1,973.84/2,964.85 = 1,565.83/x
  3. Step 3: Cross multiply
    1,973.84x = 2,964.85 × 1,565.83
  4. Step 4: Simplify right side
    1,973.84x = 4,642,459.67
  5. Step 5: Solve for x
    x = 4,642,459.67/1,973.84
  6. Step 6: Final answer
    x = 2,351.99

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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.