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Finding the Fourth Proportional to 3,146.13, 4,719.09 and 1,688.13

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Solution

The fourth proportional to 3,146.13, 4,719.09 and 1,688.13 is: 2,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.13 : 4,719.09 = 1,688.13 : x
  2. Step 2: Convert to fraction form
    3,146.13/4,719.09 = 1,688.13/x
  3. Step 3: Cross multiply
    3,146.13x = 4,719.09 × 1,688.13
  4. Step 4: Simplify right side
    3,146.13x = 7,966,437.40
  5. Step 5: Solve for x
    x = 7,966,437.40/3,146.13
  6. Step 6: Final answer
    x = 2,532.14

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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.