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Finding the Fourth Proportional to 1,590.96, 2,386.44 and 1,415.76

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Solution

The fourth proportional to 1,590.96, 2,386.44 and 1,415.76 is: 2,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.96 : 2,386.44 = 1,415.76 : x
  2. Step 2: Convert to fraction form
    1,590.96/2,386.44 = 1,415.76/x
  3. Step 3: Cross multiply
    1,590.96x = 2,386.44 × 1,415.76
  4. Step 4: Simplify right side
    1,590.96x = 3,378,626.29
  5. Step 5: Solve for x
    x = 3,378,626.29/1,590.96
  6. Step 6: Final answer
    x = 2,123.64

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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.