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Finding the Fourth Proportional to 2,316.53, 3,466.08 and 1,624.55

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Solution

The fourth proportional to 2,316.53, 3,466.08 and 1,624.55 is: 2,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.53 : 3,466.08 = 1,624.55 : x
  2. Step 2: Convert to fraction form
    2,316.53/3,466.08 = 1,624.55/x
  3. Step 3: Cross multiply
    2,316.53x = 3,466.08 × 1,624.55
  4. Step 4: Simplify right side
    2,316.53x = 5,630,828.93
  5. Step 5: Solve for x
    x = 5,630,828.93/2,316.53
  6. Step 6: Final answer
    x = 2,430.71

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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.