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Finding the Fourth Proportional to 1,733.96, 2,395.56 and 1,453.76

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Solution

The fourth proportional to 1,733.96, 2,395.56 and 1,453.76 is: 2,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.96 : 2,395.56 = 1,453.76 : x
  2. Step 2: Convert to fraction form
    1,733.96/2,395.56 = 1,453.76/x
  3. Step 3: Cross multiply
    1,733.96x = 2,395.56 × 1,453.76
  4. Step 4: Simplify right side
    1,733.96x = 3,482,569.31
  5. Step 5: Solve for x
    x = 3,482,569.31/1,733.96
  6. Step 6: Final answer
    x = 2,008.45

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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.