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Finding the Fourth Proportional to 2,134.16, 2,944.93 and 1,574.93

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Solution

The fourth proportional to 2,134.16, 2,944.93 and 1,574.93 is: 2,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.16 : 2,944.93 = 1,574.93 : x
  2. Step 2: Convert to fraction form
    2,134.16/2,944.93 = 1,574.93/x
  3. Step 3: Cross multiply
    2,134.16x = 2,944.93 × 1,574.93
  4. Step 4: Simplify right side
    2,134.16x = 4,638,058.60
  5. Step 5: Solve for x
    x = 4,638,058.60/2,134.16
  6. Step 6: Final answer
    x = 2,173.25

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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.