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Finding the Fourth Proportional to 2,306.88, 3,460.32 and 1,526.68

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Solution

The fourth proportional to 2,306.88, 3,460.32 and 1,526.68 is: 2,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.88 : 3,460.32 = 1,526.68 : x
  2. Step 2: Convert to fraction form
    2,306.88/3,460.32 = 1,526.68/x
  3. Step 3: Cross multiply
    2,306.88x = 3,460.32 × 1,526.68
  4. Step 4: Simplify right side
    2,306.88x = 5,282,801.34
  5. Step 5: Solve for x
    x = 5,282,801.34/2,306.88
  6. Step 6: Final answer
    x = 2,290.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.