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Finding the Fourth Proportional to 1,756.53, 2,423.25 and 1,057.50

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Solution

The fourth proportional to 1,756.53, 2,423.25 and 1,057.50 is: 1,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.53 : 2,423.25 = 1,057.50 : x
  2. Step 2: Convert to fraction form
    1,756.53/2,423.25 = 1,057.50/x
  3. Step 3: Cross multiply
    1,756.53x = 2,423.25 × 1,057.50
  4. Step 4: Simplify right side
    1,756.53x = 2,562,586.88
  5. Step 5: Solve for x
    x = 2,562,586.88/1,756.53
  6. Step 6: Final answer
    x = 1,458.89

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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.