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Finding the Fourth Proportional to 1,710.54, 2,360.72 and 1,047.83

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Solution

The fourth proportional to 1,710.54, 2,360.72 and 1,047.83 is: 1,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.54 : 2,360.72 = 1,047.83 : x
  2. Step 2: Convert to fraction form
    1,710.54/2,360.72 = 1,047.83/x
  3. Step 3: Cross multiply
    1,710.54x = 2,360.72 × 1,047.83
  4. Step 4: Simplify right side
    1,710.54x = 2,473,624.05
  5. Step 5: Solve for x
    x = 2,473,624.05/1,710.54
  6. Step 6: Final answer
    x = 1,446.11

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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.