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Finding the Fourth Proportional to 3,005.76, 4,508.46 and 953.76

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Solution

The fourth proportional to 3,005.76, 4,508.46 and 953.76 is: 1,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.76 : 4,508.46 = 953.76 : x
  2. Step 2: Convert to fraction form
    3,005.76/4,508.46 = 953.76/x
  3. Step 3: Cross multiply
    3,005.76x = 4,508.46 × 953.76
  4. Step 4: Simplify right side
    3,005.76x = 4,299,988.81
  5. Step 5: Solve for x
    x = 4,299,988.81/3,005.76
  6. Step 6: Final answer
    x = 1,430.58

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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.