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Finding the Fourth Proportional to 1,357.83, 1,876.32 and 1,025.69

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Solution

The fourth proportional to 1,357.83, 1,876.32 and 1,025.69 is: 1,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.83 : 1,876.32 = 1,025.69 : x
  2. Step 2: Convert to fraction form
    1,357.83/1,876.32 = 1,025.69/x
  3. Step 3: Cross multiply
    1,357.83x = 1,876.32 × 1,025.69
  4. Step 4: Simplify right side
    1,357.83x = 1,924,513.28
  5. Step 5: Solve for x
    x = 1,924,513.28/1,357.83
  6. Step 6: Final answer
    x = 1,417.34

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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.