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Finding the Fourth Proportional to 1,864.74, 2,575.96 and 1,766.32

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Solution

The fourth proportional to 1,864.74, 2,575.96 and 1,766.32 is: 2,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.74 : 2,575.96 = 1,766.32 : x
  2. Step 2: Convert to fraction form
    1,864.74/2,575.96 = 1,766.32/x
  3. Step 3: Cross multiply
    1,864.74x = 2,575.96 × 1,766.32
  4. Step 4: Simplify right side
    1,864.74x = 4,549,969.67
  5. Step 5: Solve for x
    x = 4,549,969.67/1,864.74
  6. Step 6: Final answer
    x = 2,440.00

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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.