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Finding the Fourth Proportional to 1,870.82, 2,580.57 and 1,497.38

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Solution

The fourth proportional to 1,870.82, 2,580.57 and 1,497.38 is: 2,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.82 : 2,580.57 = 1,497.38 : x
  2. Step 2: Convert to fraction form
    1,870.82/2,580.57 = 1,497.38/x
  3. Step 3: Cross multiply
    1,870.82x = 2,580.57 × 1,497.38
  4. Step 4: Simplify right side
    1,870.82x = 3,864,093.91
  5. Step 5: Solve for x
    x = 3,864,093.91/1,870.82
  6. Step 6: Final answer
    x = 2,065.45

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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.