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Finding the Fourth Proportional to 2,591.04, 3,888.04 and 947.36

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Solution

The fourth proportional to 2,591.04, 3,888.04 and 947.36 is: 1,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.04 : 3,888.04 = 947.36 : x
  2. Step 2: Convert to fraction form
    2,591.04/3,888.04 = 947.36/x
  3. Step 3: Cross multiply
    2,591.04x = 3,888.04 × 947.36
  4. Step 4: Simplify right side
    2,591.04x = 3,683,373.57
  5. Step 5: Solve for x
    x = 3,683,373.57/2,591.04
  6. Step 6: Final answer
    x = 1,421.58

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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.