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Finding the Fourth Proportional to 1,776.87, 2,451.42 and 1,030.41

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Solution

The fourth proportional to 1,776.87, 2,451.42 and 1,030.41 is: 1,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.87 : 2,451.42 = 1,030.41 : x
  2. Step 2: Convert to fraction form
    1,776.87/2,451.42 = 1,030.41/x
  3. Step 3: Cross multiply
    1,776.87x = 2,451.42 × 1,030.41
  4. Step 4: Simplify right side
    1,776.87x = 2,525,967.68
  5. Step 5: Solve for x
    x = 2,525,967.68/1,776.87
  6. Step 6: Final answer
    x = 1,421.58

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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.