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Finding the Fourth Proportional to 2,598.32, 3,585.63 and 1,419.38

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Solution

The fourth proportional to 2,598.32, 3,585.63 and 1,419.38 is: 1,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.32 : 3,585.63 = 1,419.38 : x
  2. Step 2: Convert to fraction form
    2,598.32/3,585.63 = 1,419.38/x
  3. Step 3: Cross multiply
    2,598.32x = 3,585.63 × 1,419.38
  4. Step 4: Simplify right side
    2,598.32x = 5,089,371.51
  5. Step 5: Solve for x
    x = 5,089,371.51/2,598.32
  6. Step 6: Final answer
    x = 1,958.72

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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.