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Finding the Fourth Proportional to 2,898.42, 4,339.35 and 2,714.51

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Solution

The fourth proportional to 2,898.42, 4,339.35 and 2,714.51 is: 4,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.42 : 4,339.35 = 2,714.51 : x
  2. Step 2: Convert to fraction form
    2,898.42/4,339.35 = 2,714.51/x
  3. Step 3: Cross multiply
    2,898.42x = 4,339.35 × 2,714.51
  4. Step 4: Simplify right side
    2,898.42x = 11,779,187.27
  5. Step 5: Solve for x
    x = 11,779,187.27/2,898.42
  6. Step 6: Final answer
    x = 4,064.00

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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.