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Finding the Fourth Proportional to 2,365.24, 3,547.86 and 903.19

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Solution

The fourth proportional to 2,365.24, 3,547.86 and 903.19 is: 1,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.24 : 3,547.86 = 903.19 : x
  2. Step 2: Convert to fraction form
    2,365.24/3,547.86 = 903.19/x
  3. Step 3: Cross multiply
    2,365.24x = 3,547.86 × 903.19
  4. Step 4: Simplify right side
    2,365.24x = 3,204,391.67
  5. Step 5: Solve for x
    x = 3,204,391.67/2,365.24
  6. Step 6: Final answer
    x = 1,354.79

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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.