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Finding the Fourth Proportional to 2,903.35, 4,355.09 and 712.10

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Solution

The fourth proportional to 2,903.35, 4,355.09 and 712.10 is: 1,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.35 : 4,355.09 = 712.10 : x
  2. Step 2: Convert to fraction form
    2,903.35/4,355.09 = 712.10/x
  3. Step 3: Cross multiply
    2,903.35x = 4,355.09 × 712.10
  4. Step 4: Simplify right side
    2,903.35x = 3,101,259.59
  5. Step 5: Solve for x
    x = 3,101,259.59/2,903.35
  6. Step 6: Final answer
    x = 1,068.17

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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.