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Finding the Fourth Proportional to 1,710.34, 2,360.28 and 964.23

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Solution

The fourth proportional to 1,710.34, 2,360.28 and 964.23 is: 1,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.34 : 2,360.28 = 964.23 : x
  2. Step 2: Convert to fraction form
    1,710.34/2,360.28 = 964.23/x
  3. Step 3: Cross multiply
    1,710.34x = 2,360.28 × 964.23
  4. Step 4: Simplify right side
    1,710.34x = 2,275,840.98
  5. Step 5: Solve for x
    x = 2,275,840.98/1,710.34
  6. Step 6: Final answer
    x = 1,330.64

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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.