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Finding the Fourth Proportional to 2,419.84, 3,339.07 and 1,357.51

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Solution

The fourth proportional to 2,419.84, 3,339.07 and 1,357.51 is: 1,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.84 : 3,339.07 = 1,357.51 : x
  2. Step 2: Convert to fraction form
    2,419.84/3,339.07 = 1,357.51/x
  3. Step 3: Cross multiply
    2,419.84x = 3,339.07 × 1,357.51
  4. Step 4: Simplify right side
    2,419.84x = 4,532,804.22
  5. Step 5: Solve for x
    x = 4,532,804.22/2,419.84
  6. Step 6: Final answer
    x = 1,873.19

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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.