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Finding the Fourth Proportional to 1,605.98, 2,410.06 and 740.36

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Solution

The fourth proportional to 1,605.98, 2,410.06 and 740.36 is: 1,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.98 : 2,410.06 = 740.36 : x
  2. Step 2: Convert to fraction form
    1,605.98/2,410.06 = 740.36/x
  3. Step 3: Cross multiply
    1,605.98x = 2,410.06 × 740.36
  4. Step 4: Simplify right side
    1,605.98x = 1,784,312.02
  5. Step 5: Solve for x
    x = 1,784,312.02/1,605.98
  6. Step 6: Final answer
    x = 1,111.04

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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.