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Finding the Fourth Proportional to 1,710.30, 2,360.70 and 1,012.08

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Solution

The fourth proportional to 1,710.30, 2,360.70 and 1,012.08 is: 1,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.30 : 2,360.70 = 1,012.08 : x
  2. Step 2: Convert to fraction form
    1,710.30/2,360.70 = 1,012.08/x
  3. Step 3: Cross multiply
    1,710.30x = 2,360.70 × 1,012.08
  4. Step 4: Simplify right side
    1,710.30x = 2,389,217.26
  5. Step 5: Solve for x
    x = 2,389,217.26/1,710.30
  6. Step 6: Final answer
    x = 1,396.96

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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.