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Finding the Fourth Proportional to 2,394, 3,303.72 and 1,346.40

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Solution

The fourth proportional to 2,394, 3,303.72 and 1,346.40 is: 1,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394 : 3,303.72 = 1,346.40 : x
  2. Step 2: Convert to fraction form
    2,394/3,303.72 = 1,346.40/x
  3. Step 3: Cross multiply
    2,394x = 3,303.72 × 1,346.40
  4. Step 4: Simplify right side
    2,394x = 4,448,128.61
  5. Step 5: Solve for x
    x = 4,448,128.61/2,394
  6. Step 6: Final answer
    x = 1,858.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.