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Finding the Fourth Proportional to 1,750.08, 2,415.12 and 964.13

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Solution

The fourth proportional to 1,750.08, 2,415.12 and 964.13 is: 1,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.08 : 2,415.12 = 964.13 : x
  2. Step 2: Convert to fraction form
    1,750.08/2,415.12 = 964.13/x
  3. Step 3: Cross multiply
    1,750.08x = 2,415.12 × 964.13
  4. Step 4: Simplify right side
    1,750.08x = 2,328,473.95
  5. Step 5: Solve for x
    x = 2,328,473.95/1,750.08
  6. Step 6: Final answer
    x = 1,330.49

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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.