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Finding the Fourth Proportional to 2,088.56, 2,881.32 and 1,390.16

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Solution

The fourth proportional to 2,088.56, 2,881.32 and 1,390.16 is: 1,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.56 : 2,881.32 = 1,390.16 : x
  2. Step 2: Convert to fraction form
    2,088.56/2,881.32 = 1,390.16/x
  3. Step 3: Cross multiply
    2,088.56x = 2,881.32 × 1,390.16
  4. Step 4: Simplify right side
    2,088.56x = 4,005,495.81
  5. Step 5: Solve for x
    x = 4,005,495.81/2,088.56
  6. Step 6: Final answer
    x = 1,917.83

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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.