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Finding the Fourth Proportional to 2,088.59, 2,884.41 and 1,460.84

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Solution

The fourth proportional to 2,088.59, 2,884.41 and 1,460.84 is: 2,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.59 : 2,884.41 = 1,460.84 : x
  2. Step 2: Convert to fraction form
    2,088.59/2,884.41 = 1,460.84/x
  3. Step 3: Cross multiply
    2,088.59x = 2,884.41 × 1,460.84
  4. Step 4: Simplify right side
    2,088.59x = 4,213,647.08
  5. Step 5: Solve for x
    x = 4,213,647.08/2,088.59
  6. Step 6: Final answer
    x = 2,017.46

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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.