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Finding the Fourth Proportional to 1,783.60, 2,459.64 and 1,390.48

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Solution

The fourth proportional to 1,783.60, 2,459.64 and 1,390.48 is: 1,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.60 : 2,459.64 = 1,390.48 : x
  2. Step 2: Convert to fraction form
    1,783.60/2,459.64 = 1,390.48/x
  3. Step 3: Cross multiply
    1,783.60x = 2,459.64 × 1,390.48
  4. Step 4: Simplify right side
    1,783.60x = 3,420,080.23
  5. Step 5: Solve for x
    x = 3,420,080.23/1,783.60
  6. Step 6: Final answer
    x = 1,917.52

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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.