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Finding the Fourth Proportional to 1,528.42, 2,292.62 and 374.16

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Solution

The fourth proportional to 1,528.42, 2,292.62 and 374.16 is: 561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.42 : 2,292.62 = 374.16 : x
  2. Step 2: Convert to fraction form
    1,528.42/2,292.62 = 374.16/x
  3. Step 3: Cross multiply
    1,528.42x = 2,292.62 × 374.16
  4. Step 4: Simplify right side
    1,528.42x = 857,806.70
  5. Step 5: Solve for x
    x = 857,806.70/1,528.42
  6. Step 6: Final answer
    x = 561.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.