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Finding the Fourth Proportional to 1,756.59, 2,426.43 and 1,428.99

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Solution

The fourth proportional to 1,756.59, 2,426.43 and 1,428.99 is: 1,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.59 : 2,426.43 = 1,428.99 : x
  2. Step 2: Convert to fraction form
    1,756.59/2,426.43 = 1,428.99/x
  3. Step 3: Cross multiply
    1,756.59x = 2,426.43 × 1,428.99
  4. Step 4: Simplify right side
    1,756.59x = 3,467,350.09
  5. Step 5: Solve for x
    x = 3,467,350.09/1,756.59
  6. Step 6: Final answer
    x = 1,973.91

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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.