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Finding the Fourth Proportional to 2,045.63, 3,065.40 and 1,314.60

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Solution

The fourth proportional to 2,045.63, 3,065.40 and 1,314.60 is: 1,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.63 : 3,065.40 = 1,314.60 : x
  2. Step 2: Convert to fraction form
    2,045.63/3,065.40 = 1,314.60/x
  3. Step 3: Cross multiply
    2,045.63x = 3,065.40 × 1,314.60
  4. Step 4: Simplify right side
    2,045.63x = 4,029,774.84
  5. Step 5: Solve for x
    x = 4,029,774.84/2,045.63
  6. Step 6: Final answer
    x = 1,969.95

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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.