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Finding the Fourth Proportional to 2,514.56, 3,470.10 and 1,395.58

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Solution

The fourth proportional to 2,514.56, 3,470.10 and 1,395.58 is: 1,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.56 : 3,470.10 = 1,395.58 : x
  2. Step 2: Convert to fraction form
    2,514.56/3,470.10 = 1,395.58/x
  3. Step 3: Cross multiply
    2,514.56x = 3,470.10 × 1,395.58
  4. Step 4: Simplify right side
    2,514.56x = 4,842,784.81
  5. Step 5: Solve for x
    x = 4,842,784.81/2,514.56
  6. Step 6: Final answer
    x = 1,925.90

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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.