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Finding the Fourth Proportional to 2,783.65, 3,842.30 and 1,605.51

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Solution

The fourth proportional to 2,783.65, 3,842.30 and 1,605.51 is: 2,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.65 : 3,842.30 = 1,605.51 : x
  2. Step 2: Convert to fraction form
    2,783.65/3,842.30 = 1,605.51/x
  3. Step 3: Cross multiply
    2,783.65x = 3,842.30 × 1,605.51
  4. Step 4: Simplify right side
    2,783.65x = 6,168,851.07
  5. Step 5: Solve for x
    x = 6,168,851.07/2,783.65
  6. Step 6: Final answer
    x = 2,216.10

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1.5x scale

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.