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Finding the Fourth Proportional to 1,557.36, 2,323.89 and 1,419.36

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Solution

The fourth proportional to 1,557.36, 2,323.89 and 1,419.36 is: 2,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.36 : 2,323.89 = 1,419.36 : x
  2. Step 2: Convert to fraction form
    1,557.36/2,323.89 = 1,419.36/x
  3. Step 3: Cross multiply
    1,557.36x = 2,323.89 × 1,419.36
  4. Step 4: Simplify right side
    1,557.36x = 3,298,436.51
  5. Step 5: Solve for x
    x = 3,298,436.51/1,557.36
  6. Step 6: Final answer
    x = 2,117.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.