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Finding the Fourth Proportional to 1,476.57, 2,038.19 and 1,035.78

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Solution

The fourth proportional to 1,476.57, 2,038.19 and 1,035.78 is: 1,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.57 : 2,038.19 = 1,035.78 : x
  2. Step 2: Convert to fraction form
    1,476.57/2,038.19 = 1,035.78/x
  3. Step 3: Cross multiply
    1,476.57x = 2,038.19 × 1,035.78
  4. Step 4: Simplify right side
    1,476.57x = 2,111,116.44
  5. Step 5: Solve for x
    x = 2,111,116.44/1,476.57
  6. Step 6: Final answer
    x = 1,429.74

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Why These Related Problems?

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