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Finding the Fourth Proportional to 3,032.34, 4,547.67 and 840.54

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Solution

The fourth proportional to 3,032.34, 4,547.67 and 840.54 is: 1,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.34 : 4,547.67 = 840.54 : x
  2. Step 2: Convert to fraction form
    3,032.34/4,547.67 = 840.54/x
  3. Step 3: Cross multiply
    3,032.34x = 4,547.67 × 840.54
  4. Step 4: Simplify right side
    3,032.34x = 3,822,498.54
  5. Step 5: Solve for x
    x = 3,822,498.54/3,032.34
  6. Step 6: Final answer
    x = 1,260.58

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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.