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Finding the Fourth Proportional to 1,528.71, 2,293.08 and 374.46

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Solution

The fourth proportional to 1,528.71, 2,293.08 and 374.46 is: 561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.71 : 2,293.08 = 374.46 : x
  2. Step 2: Convert to fraction form
    1,528.71/2,293.08 = 374.46/x
  3. Step 3: Cross multiply
    1,528.71x = 2,293.08 × 374.46
  4. Step 4: Simplify right side
    1,528.71x = 858,666.74
  5. Step 5: Solve for x
    x = 858,666.74/1,528.71
  6. Step 6: Final answer
    x = 561.69

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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.