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Finding the Fourth Proportional to 2,903.76, 4,352.66 and 1,148.06

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Solution

The fourth proportional to 2,903.76, 4,352.66 and 1,148.06 is: 1,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.76 : 4,352.66 = 1,148.06 : x
  2. Step 2: Convert to fraction form
    2,903.76/4,352.66 = 1,148.06/x
  3. Step 3: Cross multiply
    2,903.76x = 4,352.66 × 1,148.06
  4. Step 4: Simplify right side
    2,903.76x = 4,997,114.84
  5. Step 5: Solve for x
    x = 4,997,114.84/2,903.76
  6. Step 6: Final answer
    x = 1,720.91

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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.