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Finding the Fourth Proportional to 1,795.10, 2,477.25 and 1,009.13

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Solution

The fourth proportional to 1,795.10, 2,477.25 and 1,009.13 is: 1,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.10 : 2,477.25 = 1,009.13 : x
  2. Step 2: Convert to fraction form
    1,795.10/2,477.25 = 1,009.13/x
  3. Step 3: Cross multiply
    1,795.10x = 2,477.25 × 1,009.13
  4. Step 4: Simplify right side
    1,795.10x = 2,499,854.91
  5. Step 5: Solve for x
    x = 2,499,854.91/1,795.10
  6. Step 6: Final answer
    x = 1,392.60

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