Home / 1,780.60-2,457.11-983.92

Finding the Fourth Proportional to 1,780.60, 2,457.11 and 983.92

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Solution

The fourth proportional to 1,780.60, 2,457.11 and 983.92 is: 1,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.60 : 2,457.11 = 983.92 : x
  2. Step 2: Convert to fraction form
    1,780.60/2,457.11 = 983.92/x
  3. Step 3: Cross multiply
    1,780.60x = 2,457.11 × 983.92
  4. Step 4: Simplify right side
    1,780.60x = 2,417,582.47
  5. Step 5: Solve for x
    x = 2,417,582.47/1,780.60
  6. Step 6: Final answer
    x = 1,357.74

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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.