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Finding the Fourth Proportional to 3,146.04, 4,719.75 and 954.93

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Solution

The fourth proportional to 3,146.04, 4,719.75 and 954.93 is: 1,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.04 : 4,719.75 = 954.93 : x
  2. Step 2: Convert to fraction form
    3,146.04/4,719.75 = 954.93/x
  3. Step 3: Cross multiply
    3,146.04x = 4,719.75 × 954.93
  4. Step 4: Simplify right side
    3,146.04x = 4,507,030.87
  5. Step 5: Solve for x
    x = 4,507,030.87/3,146.04
  6. Step 6: Final answer
    x = 1,432.60

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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.