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Finding the Fourth Proportional to 2,152.72, 2,969.88 and 1,435.24

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Solution

The fourth proportional to 2,152.72, 2,969.88 and 1,435.24 is: 1,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.72 : 2,969.88 = 1,435.24 : x
  2. Step 2: Convert to fraction form
    2,152.72/2,969.88 = 1,435.24/x
  3. Step 3: Cross multiply
    2,152.72x = 2,969.88 × 1,435.24
  4. Step 4: Simplify right side
    2,152.72x = 4,262,490.57
  5. Step 5: Solve for x
    x = 4,262,490.57/2,152.72
  6. Step 6: Final answer
    x = 1,980.05

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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.