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Finding the Fourth Proportional to 1,710.65, 2,360.53 and 964.44

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Solution

The fourth proportional to 1,710.65, 2,360.53 and 964.44 is: 1,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.65 : 2,360.53 = 964.44 : x
  2. Step 2: Convert to fraction form
    1,710.65/2,360.53 = 964.44/x
  3. Step 3: Cross multiply
    1,710.65x = 2,360.53 × 964.44
  4. Step 4: Simplify right side
    1,710.65x = 2,276,589.55
  5. Step 5: Solve for x
    x = 2,276,589.55/1,710.65
  6. Step 6: Final answer
    x = 1,330.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.