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Finding the Fourth Proportional to 1,578.62, 2,368.06 and 1,557.30

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Solution

The fourth proportional to 1,578.62, 2,368.06 and 1,557.30 is: 2,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.62 : 2,368.06 = 1,557.30 : x
  2. Step 2: Convert to fraction form
    1,578.62/2,368.06 = 1,557.30/x
  3. Step 3: Cross multiply
    1,578.62x = 2,368.06 × 1,557.30
  4. Step 4: Simplify right side
    1,578.62x = 3,687,779.84
  5. Step 5: Solve for x
    x = 3,687,779.84/1,578.62
  6. Step 6: Final answer
    x = 2,336.08

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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.