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Finding the Fourth Proportional to 1,753.90, 2,626.98 and 1,316.08

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Solution

The fourth proportional to 1,753.90, 2,626.98 and 1,316.08 is: 1,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.90 : 2,626.98 = 1,316.08 : x
  2. Step 2: Convert to fraction form
    1,753.90/2,626.98 = 1,316.08/x
  3. Step 3: Cross multiply
    1,753.90x = 2,626.98 × 1,316.08
  4. Step 4: Simplify right side
    1,753.90x = 3,457,315.84
  5. Step 5: Solve for x
    x = 3,457,315.84/1,753.90
  6. Step 6: Final answer
    x = 1,971.22

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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.