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Finding the Fourth Proportional to 2,271.66, 3,407.58 and 972.24

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Solution

The fourth proportional to 2,271.66, 3,407.58 and 972.24 is: 1,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.66 : 3,407.58 = 972.24 : x
  2. Step 2: Convert to fraction form
    2,271.66/3,407.58 = 972.24/x
  3. Step 3: Cross multiply
    2,271.66x = 3,407.58 × 972.24
  4. Step 4: Simplify right side
    2,271.66x = 3,312,985.58
  5. Step 5: Solve for x
    x = 3,312,985.58/2,271.66
  6. Step 6: Final answer
    x = 1,458.40

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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.