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Finding the Fourth Proportional to 2,325.64, 3,486.30 and 1,026.40

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Solution

The fourth proportional to 2,325.64, 3,486.30 and 1,026.40 is: 1,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.64 : 3,486.30 = 1,026.40 : x
  2. Step 2: Convert to fraction form
    2,325.64/3,486.30 = 1,026.40/x
  3. Step 3: Cross multiply
    2,325.64x = 3,486.30 × 1,026.40
  4. Step 4: Simplify right side
    2,325.64x = 3,578,338.32
  5. Step 5: Solve for x
    x = 3,578,338.32/2,325.64
  6. Step 6: Final answer
    x = 1,538.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.