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Finding the Fourth Proportional to 3,146.10, 4,719.17 and 954.84

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Solution

The fourth proportional to 3,146.10, 4,719.17 and 954.84 is: 1,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.10 : 4,719.17 = 954.84 : x
  2. Step 2: Convert to fraction form
    3,146.10/4,719.17 = 954.84/x
  3. Step 3: Cross multiply
    3,146.10x = 4,719.17 × 954.84
  4. Step 4: Simplify right side
    3,146.10x = 4,506,047.51
  5. Step 5: Solve for x
    x = 4,506,047.51/3,146.10
  6. Step 6: Final answer
    x = 1,432.26

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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.