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Finding the Fourth Proportional to 1,750.90, 2,416.21 and 964.93

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Solution

The fourth proportional to 1,750.90, 2,416.21 and 964.93 is: 1,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.90 : 2,416.21 = 964.93 : x
  2. Step 2: Convert to fraction form
    1,750.90/2,416.21 = 964.93/x
  3. Step 3: Cross multiply
    1,750.90x = 2,416.21 × 964.93
  4. Step 4: Simplify right side
    1,750.90x = 2,331,473.52
  5. Step 5: Solve for x
    x = 2,331,473.52/1,750.90
  6. Step 6: Final answer
    x = 1,331.59

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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.