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Finding the Fourth Proportional to 1,677.10, 2,516.63 and 703.12

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Solution

The fourth proportional to 1,677.10, 2,516.63 and 703.12 is: 1,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.10 : 2,516.63 = 703.12 : x
  2. Step 2: Convert to fraction form
    1,677.10/2,516.63 = 703.12/x
  3. Step 3: Cross multiply
    1,677.10x = 2,516.63 × 703.12
  4. Step 4: Simplify right side
    1,677.10x = 1,769,492.89
  5. Step 5: Solve for x
    x = 1,769,492.89/1,677.10
  6. Step 6: Final answer
    x = 1,055.09

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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.