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Finding the Fourth Proportional to 1,405.56, 2,117.19 and 1,319.16

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Solution

The fourth proportional to 1,405.56, 2,117.19 and 1,319.16 is: 1,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.56 : 2,117.19 = 1,319.16 : x
  2. Step 2: Convert to fraction form
    1,405.56/2,117.19 = 1,319.16/x
  3. Step 3: Cross multiply
    1,405.56x = 2,117.19 × 1,319.16
  4. Step 4: Simplify right side
    1,405.56x = 2,792,912.36
  5. Step 5: Solve for x
    x = 2,792,912.36/1,405.56
  6. Step 6: Final answer
    x = 1,987.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.