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Finding the Fourth Proportional to 1,710.70, 2,360.72 and 964.66

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Solution

The fourth proportional to 1,710.70, 2,360.72 and 964.66 is: 1,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.70 : 2,360.72 = 964.66 : x
  2. Step 2: Convert to fraction form
    1,710.70/2,360.72 = 964.66/x
  3. Step 3: Cross multiply
    1,710.70x = 2,360.72 × 964.66
  4. Step 4: Simplify right side
    1,710.70x = 2,277,282.76
  5. Step 5: Solve for x
    x = 2,277,282.76/1,710.70
  6. Step 6: Final answer
    x = 1,331.20

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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.