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Finding the Fourth Proportional to 1,677.08, 2,516.16 and 1,019.10

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Solution

The fourth proportional to 1,677.08, 2,516.16 and 1,019.10 is: 1,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.08 : 2,516.16 = 1,019.10 : x
  2. Step 2: Convert to fraction form
    1,677.08/2,516.16 = 1,019.10/x
  3. Step 3: Cross multiply
    1,677.08x = 2,516.16 × 1,019.10
  4. Step 4: Simplify right side
    1,677.08x = 2,564,218.66
  5. Step 5: Solve for x
    x = 2,564,218.66/1,677.08
  6. Step 6: Final answer
    x = 1,528.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.