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Finding the Fourth Proportional to 1,573.42, 2,356.53 and 752.27

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Solution

The fourth proportional to 1,573.42, 2,356.53 and 752.27 is: 1,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.42 : 2,356.53 = 752.27 : x
  2. Step 2: Convert to fraction form
    1,573.42/2,356.53 = 752.27/x
  3. Step 3: Cross multiply
    1,573.42x = 2,356.53 × 752.27
  4. Step 4: Simplify right side
    1,573.42x = 1,772,746.82
  5. Step 5: Solve for x
    x = 1,772,746.82/1,573.42
  6. Step 6: Final answer
    x = 1,126.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.