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Finding the Fourth Proportional to 2,877.63, 4,316.49 and 929.81

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Solution

The fourth proportional to 2,877.63, 4,316.49 and 929.81 is: 1,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.63 : 4,316.49 = 929.81 : x
  2. Step 2: Convert to fraction form
    2,877.63/4,316.49 = 929.81/x
  3. Step 3: Cross multiply
    2,877.63x = 4,316.49 × 929.81
  4. Step 4: Simplify right side
    2,877.63x = 4,013,526.36
  5. Step 5: Solve for x
    x = 4,013,526.36/2,877.63
  6. Step 6: Final answer
    x = 1,394.74

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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.