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Finding the Fourth Proportional to 1,560.42, 2,152.94 and 1,062.18

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Solution

The fourth proportional to 1,560.42, 2,152.94 and 1,062.18 is: 1,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.42 : 2,152.94 = 1,062.18 : x
  2. Step 2: Convert to fraction form
    1,560.42/2,152.94 = 1,062.18/x
  3. Step 3: Cross multiply
    1,560.42x = 2,152.94 × 1,062.18
  4. Step 4: Simplify right side
    1,560.42x = 2,286,804.50
  5. Step 5: Solve for x
    x = 2,286,804.50/1,560.42
  6. Step 6: Final answer
    x = 1,465.51

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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.