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Finding the Fourth Proportional to 2,507.84, 3,759.96 and 1,045.28

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Solution

The fourth proportional to 2,507.84, 3,759.96 and 1,045.28 is: 1,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.84 : 3,759.96 = 1,045.28 : x
  2. Step 2: Convert to fraction form
    2,507.84/3,759.96 = 1,045.28/x
  3. Step 3: Cross multiply
    2,507.84x = 3,759.96 × 1,045.28
  4. Step 4: Simplify right side
    2,507.84x = 3,930,210.99
  5. Step 5: Solve for x
    x = 3,930,210.99/2,507.84
  6. Step 6: Final answer
    x = 1,567.17

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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.