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Finding the Fourth Proportional to 2,376.58, 3,565.83 and 837.70

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Solution

The fourth proportional to 2,376.58, 3,565.83 and 837.70 is: 1,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.58 : 3,565.83 = 837.70 : x
  2. Step 2: Convert to fraction form
    2,376.58/3,565.83 = 837.70/x
  3. Step 3: Cross multiply
    2,376.58x = 3,565.83 × 837.70
  4. Step 4: Simplify right side
    2,376.58x = 2,987,095.79
  5. Step 5: Solve for x
    x = 2,987,095.79/2,376.58
  6. Step 6: Final answer
    x = 1,256.89

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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.