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Finding the Fourth Proportional to 2,810.35, 3,870.75 and 2,437.35

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Solution

The fourth proportional to 2,810.35, 3,870.75 and 2,437.35 is: 3,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.35 : 3,870.75 = 2,437.35 : x
  2. Step 2: Convert to fraction form
    2,810.35/3,870.75 = 2,437.35/x
  3. Step 3: Cross multiply
    2,810.35x = 3,870.75 × 2,437.35
  4. Step 4: Simplify right side
    2,810.35x = 9,434,372.51
  5. Step 5: Solve for x
    x = 9,434,372.51/2,810.35
  6. Step 6: Final answer
    x = 3,357.01

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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.