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Finding the Fourth Proportional to 1,453.40, 2,005.46 and 956.24

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Solution

The fourth proportional to 1,453.40, 2,005.46 and 956.24 is: 1,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.40 : 2,005.46 = 956.24 : x
  2. Step 2: Convert to fraction form
    1,453.40/2,005.46 = 956.24/x
  3. Step 3: Cross multiply
    1,453.40x = 2,005.46 × 956.24
  4. Step 4: Simplify right side
    1,453.40x = 1,917,701.07
  5. Step 5: Solve for x
    x = 1,917,701.07/1,453.40
  6. Step 6: Final answer
    x = 1,319.46

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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.