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Finding the Fourth Proportional to 2,870.32, 4,304.84 and 1,408

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Solution

The fourth proportional to 2,870.32, 4,304.84 and 1,408 is: 2,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.32 : 4,304.84 = 1,408 : x
  2. Step 2: Convert to fraction form
    2,870.32/4,304.84 = 1,408/x
  3. Step 3: Cross multiply
    2,870.32x = 4,304.84 × 1,408
  4. Step 4: Simplify right side
    2,870.32x = 6,061,214.72
  5. Step 5: Solve for x
    x = 6,061,214.72/2,870.32
  6. Step 6: Final answer
    x = 2,111.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.