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Finding the Fourth Proportional to 2,659.35, 3,666.10 and 1,870.95

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Solution

The fourth proportional to 2,659.35, 3,666.10 and 1,870.95 is: 2,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.35 : 3,666.10 = 1,870.95 : x
  2. Step 2: Convert to fraction form
    2,659.35/3,666.10 = 1,870.95/x
  3. Step 3: Cross multiply
    2,659.35x = 3,666.10 × 1,870.95
  4. Step 4: Simplify right side
    2,659.35x = 6,859,089.80
  5. Step 5: Solve for x
    x = 6,859,089.80/2,659.35
  6. Step 6: Final answer
    x = 2,579.24

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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.