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Finding the Fourth Proportional to 1,653.55, 2,463.50 and 1,575.18

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Solution

The fourth proportional to 1,653.55, 2,463.50 and 1,575.18 is: 2,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.55 : 2,463.50 = 1,575.18 : x
  2. Step 2: Convert to fraction form
    1,653.55/2,463.50 = 1,575.18/x
  3. Step 3: Cross multiply
    1,653.55x = 2,463.50 × 1,575.18
  4. Step 4: Simplify right side
    1,653.55x = 3,880,459.87
  5. Step 5: Solve for x
    x = 3,880,459.87/1,653.55
  6. Step 6: Final answer
    x = 2,346.75

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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.