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Finding the Fourth Proportional to 1,865.77, 2,574.80 and 1,026.49

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Solution

The fourth proportional to 1,865.77, 2,574.80 and 1,026.49 is: 1,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.77 : 2,574.80 = 1,026.49 : x
  2. Step 2: Convert to fraction form
    1,865.77/2,574.80 = 1,026.49/x
  3. Step 3: Cross multiply
    1,865.77x = 2,574.80 × 1,026.49
  4. Step 4: Simplify right side
    1,865.77x = 2,643,006.45
  5. Step 5: Solve for x
    x = 2,643,006.45/1,865.77
  6. Step 6: Final answer
    x = 1,416.58

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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.