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Finding the Fourth Proportional to 1,750.45, 2,415.40 and 964.55

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Solution

The fourth proportional to 1,750.45, 2,415.40 and 964.55 is: 1,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.45 : 2,415.40 = 964.55 : x
  2. Step 2: Convert to fraction form
    1,750.45/2,415.40 = 964.55/x
  3. Step 3: Cross multiply
    1,750.45x = 2,415.40 × 964.55
  4. Step 4: Simplify right side
    1,750.45x = 2,329,759.58
  5. Step 5: Solve for x
    x = 2,329,759.58/1,750.45
  6. Step 6: Final answer
    x = 1,330.95

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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.