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Finding the Fourth Proportional to 1,710.66, 2,360.66 and 964.64

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Solution

The fourth proportional to 1,710.66, 2,360.66 and 964.64 is: 1,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.66 : 2,360.66 = 964.64 : x
  2. Step 2: Convert to fraction form
    1,710.66/2,360.66 = 964.64/x
  3. Step 3: Cross multiply
    1,710.66x = 2,360.66 × 964.64
  4. Step 4: Simplify right side
    1,710.66x = 2,277,187.06
  5. Step 5: Solve for x
    x = 2,277,187.06/1,710.66
  6. Step 6: Final answer
    x = 1,331.17

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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.