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Finding the Fourth Proportional to 2,590.53, 3,886.48 and 1,357.61

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Solution

The fourth proportional to 2,590.53, 3,886.48 and 1,357.61 is: 2,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.53 : 3,886.48 = 1,357.61 : x
  2. Step 2: Convert to fraction form
    2,590.53/3,886.48 = 1,357.61/x
  3. Step 3: Cross multiply
    2,590.53x = 3,886.48 × 1,357.61
  4. Step 4: Simplify right side
    2,590.53x = 5,276,328.24
  5. Step 5: Solve for x
    x = 5,276,328.24/2,590.53
  6. Step 6: Final answer
    x = 2,036.77

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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.