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Finding the Fourth Proportional to 1,425.54, 1,965.28 and 953.50

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Solution

The fourth proportional to 1,425.54, 1,965.28 and 953.50 is: 1,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.54 : 1,965.28 = 953.50 : x
  2. Step 2: Convert to fraction form
    1,425.54/1,965.28 = 953.50/x
  3. Step 3: Cross multiply
    1,425.54x = 1,965.28 × 953.50
  4. Step 4: Simplify right side
    1,425.54x = 1,873,894.48
  5. Step 5: Solve for x
    x = 1,873,894.48/1,425.54
  6. Step 6: Final answer
    x = 1,314.52

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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.