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Finding the Fourth Proportional to 1,875.79, 2,812.96 and 642.97

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Solution

The fourth proportional to 1,875.79, 2,812.96 and 642.97 is: 964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.79 : 2,812.96 = 642.97 : x
  2. Step 2: Convert to fraction form
    1,875.79/2,812.96 = 642.97/x
  3. Step 3: Cross multiply
    1,875.79x = 2,812.96 × 642.97
  4. Step 4: Simplify right side
    1,875.79x = 1,808,648.89
  5. Step 5: Solve for x
    x = 1,808,648.89/1,875.79
  6. Step 6: Final answer
    x = 964.21

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Why These Related Problems?

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