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Finding the Fourth Proportional to 1,795.71, 2,477.88 and 1,009.74

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Solution

The fourth proportional to 1,795.71, 2,477.88 and 1,009.74 is: 1,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.71 : 2,477.88 = 1,009.74 : x
  2. Step 2: Convert to fraction form
    1,795.71/2,477.88 = 1,009.74/x
  3. Step 3: Cross multiply
    1,795.71x = 2,477.88 × 1,009.74
  4. Step 4: Simplify right side
    1,795.71x = 2,502,014.55
  5. Step 5: Solve for x
    x = 2,502,014.55/1,795.71
  6. Step 6: Final answer
    x = 1,393.33

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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.