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Finding the Fourth Proportional to 3,031.94, 4,547.93 and 840.83

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Solution

The fourth proportional to 3,031.94, 4,547.93 and 840.83 is: 1,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.94 : 4,547.93 = 840.83 : x
  2. Step 2: Convert to fraction form
    3,031.94/4,547.93 = 840.83/x
  3. Step 3: Cross multiply
    3,031.94x = 4,547.93 × 840.83
  4. Step 4: Simplify right side
    3,031.94x = 3,824,009.04
  5. Step 5: Solve for x
    x = 3,824,009.04/3,031.94
  6. Step 6: Final answer
    x = 1,261.24

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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.