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Finding the Fourth Proportional to 1,710.50, 2,359.98 and 1,047.29

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Solution

The fourth proportional to 1,710.50, 2,359.98 and 1,047.29 is: 1,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.50 : 2,359.98 = 1,047.29 : x
  2. Step 2: Convert to fraction form
    1,710.50/2,359.98 = 1,047.29/x
  3. Step 3: Cross multiply
    1,710.50x = 2,359.98 × 1,047.29
  4. Step 4: Simplify right side
    1,710.50x = 2,471,571.65
  5. Step 5: Solve for x
    x = 2,471,571.65/1,710.50
  6. Step 6: Final answer
    x = 1,444.95

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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.