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Finding the Fourth Proportional to 2,274.81, 3,130.47 and 2,210.58

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Solution

The fourth proportional to 2,274.81, 3,130.47 and 2,210.58 is: 3,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.81 : 3,130.47 = 2,210.58 : x
  2. Step 2: Convert to fraction form
    2,274.81/3,130.47 = 2,210.58/x
  3. Step 3: Cross multiply
    2,274.81x = 3,130.47 × 2,210.58
  4. Step 4: Simplify right side
    2,274.81x = 6,920,154.37
  5. Step 5: Solve for x
    x = 6,920,154.37/2,274.81
  6. Step 6: Final answer
    x = 3,042.08

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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.