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Finding the Fourth Proportional to 1,410.64, 2,104.98 and 1,265.36

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Solution

The fourth proportional to 1,410.64, 2,104.98 and 1,265.36 is: 1,888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.64 : 2,104.98 = 1,265.36 : x
  2. Step 2: Convert to fraction form
    1,410.64/2,104.98 = 1,265.36/x
  3. Step 3: Cross multiply
    1,410.64x = 2,104.98 × 1,265.36
  4. Step 4: Simplify right side
    1,410.64x = 2,663,557.49
  5. Step 5: Solve for x
    x = 2,663,557.49/1,410.64
  6. Step 6: Final answer
    x = 1,888.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.