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Finding the Fourth Proportional to 1,513.76, 2,083.93 and 1,444.10

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Solution

The fourth proportional to 1,513.76, 2,083.93 and 1,444.10 is: 1,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.76 : 2,083.93 = 1,444.10 : x
  2. Step 2: Convert to fraction form
    1,513.76/2,083.93 = 1,444.10/x
  3. Step 3: Cross multiply
    1,513.76x = 2,083.93 × 1,444.10
  4. Step 4: Simplify right side
    1,513.76x = 3,009,389.28
  5. Step 5: Solve for x
    x = 3,009,389.28/1,513.76
  6. Step 6: Final answer
    x = 1,988.03

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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.