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Finding the Fourth Proportional to 2,347.04, 3,520.56 and 703.76

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Solution

The fourth proportional to 2,347.04, 3,520.56 and 703.76 is: 1,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.04 : 3,520.56 = 703.76 : x
  2. Step 2: Convert to fraction form
    2,347.04/3,520.56 = 703.76/x
  3. Step 3: Cross multiply
    2,347.04x = 3,520.56 × 703.76
  4. Step 4: Simplify right side
    2,347.04x = 2,477,629.31
  5. Step 5: Solve for x
    x = 2,477,629.31/2,347.04
  6. Step 6: Final answer
    x = 1,055.64

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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.