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Finding the Fourth Proportional to 1,814.28, 2,503.71 and 1,017.65

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Solution

The fourth proportional to 1,814.28, 2,503.71 and 1,017.65 is: 1,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.28 : 2,503.71 = 1,017.65 : x
  2. Step 2: Convert to fraction form
    1,814.28/2,503.71 = 1,017.65/x
  3. Step 3: Cross multiply
    1,814.28x = 2,503.71 × 1,017.65
  4. Step 4: Simplify right side
    1,814.28x = 2,547,887.96
  5. Step 5: Solve for x
    x = 2,547,887.96/1,814.28
  6. Step 6: Final answer
    x = 1,404.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.