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Finding the Fourth Proportional to 1,865, 2,574.78 and 1,245.08

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Solution

The fourth proportional to 1,865, 2,574.78 and 1,245.08 is: 1,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865 : 2,574.78 = 1,245.08 : x
  2. Step 2: Convert to fraction form
    1,865/2,574.78 = 1,245.08/x
  3. Step 3: Cross multiply
    1,865x = 2,574.78 × 1,245.08
  4. Step 4: Simplify right side
    1,865x = 3,205,807.08
  5. Step 5: Solve for x
    x = 3,205,807.08/1,865
  6. Step 6: Final answer
    x = 1,718.93

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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.