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Finding the Fourth Proportional to 1,292.49, 1,782.84 and 1,127.10

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Solution

The fourth proportional to 1,292.49, 1,782.84 and 1,127.10 is: 1,554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.49 : 1,782.84 = 1,127.10 : x
  2. Step 2: Convert to fraction form
    1,292.49/1,782.84 = 1,127.10/x
  3. Step 3: Cross multiply
    1,292.49x = 1,782.84 × 1,127.10
  4. Step 4: Simplify right side
    1,292.49x = 2,009,434.74
  5. Step 5: Solve for x
    x = 2,009,434.74/1,292.49
  6. Step 6: Final answer
    x = 1,554.70

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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.