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Finding the Fourth Proportional to 2,590.07, 3,880.46 and 1,663.32

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Solution

The fourth proportional to 2,590.07, 3,880.46 and 1,663.32 is: 2,492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.07 : 3,880.46 = 1,663.32 : x
  2. Step 2: Convert to fraction form
    2,590.07/3,880.46 = 1,663.32/x
  3. Step 3: Cross multiply
    2,590.07x = 3,880.46 × 1,663.32
  4. Step 4: Simplify right side
    2,590.07x = 6,454,438.41
  5. Step 5: Solve for x
    x = 6,454,438.41/2,590.07
  6. Step 6: Final answer
    x = 2,492.00

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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.