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Finding the Fourth Proportional to 2,877.66, 4,316.46 and 1,146.24

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Solution

The fourth proportional to 2,877.66, 4,316.46 and 1,146.24 is: 1,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.66 : 4,316.46 = 1,146.24 : x
  2. Step 2: Convert to fraction form
    2,877.66/4,316.46 = 1,146.24/x
  3. Step 3: Cross multiply
    2,877.66x = 4,316.46 × 1,146.24
  4. Step 4: Simplify right side
    2,877.66x = 4,947,699.11
  5. Step 5: Solve for x
    x = 4,947,699.11/2,877.66
  6. Step 6: Final answer
    x = 1,719.35

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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.