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Finding the Fourth Proportional to 2,079.52, 2,870.89 and 1,417.34

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Solution

The fourth proportional to 2,079.52, 2,870.89 and 1,417.34 is: 1,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.52 : 2,870.89 = 1,417.34 : x
  2. Step 2: Convert to fraction form
    2,079.52/2,870.89 = 1,417.34/x
  3. Step 3: Cross multiply
    2,079.52x = 2,870.89 × 1,417.34
  4. Step 4: Simplify right side
    2,079.52x = 4,069,030.87
  5. Step 5: Solve for x
    x = 4,069,030.87/2,079.52
  6. Step 6: Final answer
    x = 1,956.72

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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.