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Finding the Fourth Proportional to 2,598, 3,585.96 and 1,666.32

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Solution

The fourth proportional to 2,598, 3,585.96 and 1,666.32 is: 2,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598 : 3,585.96 = 1,666.32 : x
  2. Step 2: Convert to fraction form
    2,598/3,585.96 = 1,666.32/x
  3. Step 3: Cross multiply
    2,598x = 3,585.96 × 1,666.32
  4. Step 4: Simplify right side
    2,598x = 5,975,356.87
  5. Step 5: Solve for x
    x = 5,975,356.87/2,598
  6. Step 6: Final answer
    x = 2,299.98

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Why These Related Problems?

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