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Finding the Fourth Proportional to 2,597.70, 3,878.06 and 2,506.58

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Solution

The fourth proportional to 2,597.70, 3,878.06 and 2,506.58 is: 3,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.70 : 3,878.06 = 2,506.58 : x
  2. Step 2: Convert to fraction form
    2,597.70/3,878.06 = 2,506.58/x
  3. Step 3: Cross multiply
    2,597.70x = 3,878.06 × 2,506.58
  4. Step 4: Simplify right side
    2,597.70x = 9,720,667.63
  5. Step 5: Solve for x
    x = 9,720,667.63/2,597.70
  6. Step 6: Final answer
    x = 3,742.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.