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Finding the Fourth Proportional to 1,714.54, 2,363.56 and 1,477.46

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Solution

The fourth proportional to 1,714.54, 2,363.56 and 1,477.46 is: 2,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.54 : 2,363.56 = 1,477.46 : x
  2. Step 2: Convert to fraction form
    1,714.54/2,363.56 = 1,477.46/x
  3. Step 3: Cross multiply
    1,714.54x = 2,363.56 × 1,477.46
  4. Step 4: Simplify right side
    1,714.54x = 3,492,065.36
  5. Step 5: Solve for x
    x = 3,492,065.36/1,714.54
  6. Step 6: Final answer
    x = 2,036.74

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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.