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Finding the Fourth Proportional to 2,275.03, 3,412.16 and 631.74

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Solution

The fourth proportional to 2,275.03, 3,412.16 and 631.74 is: 947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.03 : 3,412.16 = 631.74 : x
  2. Step 2: Convert to fraction form
    2,275.03/3,412.16 = 631.74/x
  3. Step 3: Cross multiply
    2,275.03x = 3,412.16 × 631.74
  4. Step 4: Simplify right side
    2,275.03x = 2,155,599.54
  5. Step 5: Solve for x
    x = 2,155,599.54/2,275.03
  6. Step 6: Final answer
    x = 947.50

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1.5x scale

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.