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Finding the Fourth Proportional to 2,365.32, 3,547.56 and 634.12

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Solution

The fourth proportional to 2,365.32, 3,547.56 and 634.12 is: 951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.32 : 3,547.56 = 634.12 : x
  2. Step 2: Convert to fraction form
    2,365.32/3,547.56 = 634.12/x
  3. Step 3: Cross multiply
    2,365.32x = 3,547.56 × 634.12
  4. Step 4: Simplify right side
    2,365.32x = 2,249,578.75
  5. Step 5: Solve for x
    x = 2,249,578.75/2,365.32
  6. Step 6: Final answer
    x = 951.07

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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.