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Finding the Fourth Proportional to 1,395.60, 2,084.04 and 1,314.60

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Solution

The fourth proportional to 1,395.60, 2,084.04 and 1,314.60 is: 1,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.60 : 2,084.04 = 1,314.60 : x
  2. Step 2: Convert to fraction form
    1,395.60/2,084.04 = 1,314.60/x
  3. Step 3: Cross multiply
    1,395.60x = 2,084.04 × 1,314.60
  4. Step 4: Simplify right side
    1,395.60x = 2,739,678.98
  5. Step 5: Solve for x
    x = 2,739,678.98/1,395.60
  6. Step 6: Final answer
    x = 1,963.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.