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Finding the Fourth Proportional to 2,152.58, 2,971.60 and 1,444.16

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Solution

The fourth proportional to 2,152.58, 2,971.60 and 1,444.16 is: 1,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.58 : 2,971.60 = 1,444.16 : x
  2. Step 2: Convert to fraction form
    2,152.58/2,971.60 = 1,444.16/x
  3. Step 3: Cross multiply
    2,152.58x = 2,971.60 × 1,444.16
  4. Step 4: Simplify right side
    2,152.58x = 4,291,465.86
  5. Step 5: Solve for x
    x = 4,291,465.86/2,152.58
  6. Step 6: Final answer
    x = 1,993.64

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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.