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Finding the Fourth Proportional to 3,303.74, 4,957.60 and 1,223.40

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Solution

The fourth proportional to 3,303.74, 4,957.60 and 1,223.40 is: 1,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.74 : 4,957.60 = 1,223.40 : x
  2. Step 2: Convert to fraction form
    3,303.74/4,957.60 = 1,223.40/x
  3. Step 3: Cross multiply
    3,303.74x = 4,957.60 × 1,223.40
  4. Step 4: Simplify right side
    3,303.74x = 6,065,127.84
  5. Step 5: Solve for x
    x = 6,065,127.84/3,303.74
  6. Step 6: Final answer
    x = 1,835.84

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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.