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Finding the Fourth Proportional to 2,916.32, 4,024.50 and 1,590.02

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Solution

The fourth proportional to 2,916.32, 4,024.50 and 1,590.02 is: 2,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.32 : 4,024.50 = 1,590.02 : x
  2. Step 2: Convert to fraction form
    2,916.32/4,024.50 = 1,590.02/x
  3. Step 3: Cross multiply
    2,916.32x = 4,024.50 × 1,590.02
  4. Step 4: Simplify right side
    2,916.32x = 6,399,015.37
  5. Step 5: Solve for x
    x = 6,399,015.37/2,916.32
  6. Step 6: Final answer
    x = 2,194.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.