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Finding the Fourth Proportional to 1,395.16, 1,923.96 and 1,185.10

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Solution

The fourth proportional to 1,395.16, 1,923.96 and 1,185.10 is: 1,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.16 : 1,923.96 = 1,185.10 : x
  2. Step 2: Convert to fraction form
    1,395.16/1,923.96 = 1,185.10/x
  3. Step 3: Cross multiply
    1,395.16x = 1,923.96 × 1,185.10
  4. Step 4: Simplify right side
    1,395.16x = 2,280,085.00
  5. Step 5: Solve for x
    x = 2,280,085.00/1,395.16
  6. Step 6: Final answer
    x = 1,634.28

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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.