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Finding the Fourth Proportional to 2,598.16, 3,585.52 and 1,419.28

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Solution

The fourth proportional to 2,598.16, 3,585.52 and 1,419.28 is: 1,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.16 : 3,585.52 = 1,419.28 : x
  2. Step 2: Convert to fraction form
    2,598.16/3,585.52 = 1,419.28/x
  3. Step 3: Cross multiply
    2,598.16x = 3,585.52 × 1,419.28
  4. Step 4: Simplify right side
    2,598.16x = 5,088,856.83
  5. Step 5: Solve for x
    x = 5,088,856.83/2,598.16
  6. Step 6: Final answer
    x = 1,958.64

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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.