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Finding the Fourth Proportional to 1,780.62, 2,457.19 and 983.93

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Solution

The fourth proportional to 1,780.62, 2,457.19 and 983.93 is: 1,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.62 : 2,457.19 = 983.93 : x
  2. Step 2: Convert to fraction form
    1,780.62/2,457.19 = 983.93/x
  3. Step 3: Cross multiply
    1,780.62x = 2,457.19 × 983.93
  4. Step 4: Simplify right side
    1,780.62x = 2,417,686.37
  5. Step 5: Solve for x
    x = 2,417,686.37/1,780.62
  6. Step 6: Final answer
    x = 1,357.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.