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Finding the Fourth Proportional to 1,710.30, 2,563.62 and 614.36

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Solution

The fourth proportional to 1,710.30, 2,563.62 and 614.36 is: 920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.30 : 2,563.62 = 614.36 : x
  2. Step 2: Convert to fraction form
    1,710.30/2,563.62 = 614.36/x
  3. Step 3: Cross multiply
    1,710.30x = 2,563.62 × 614.36
  4. Step 4: Simplify right side
    1,710.30x = 1,574,985.58
  5. Step 5: Solve for x
    x = 1,574,985.58/1,710.30
  6. Step 6: Final answer
    x = 920.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.