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Finding the Fourth Proportional to 2,898.62, 4,347.88 and 707.34

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Solution

The fourth proportional to 2,898.62, 4,347.88 and 707.34 is: 1,061.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.62 : 4,347.88 = 707.34 : x
  2. Step 2: Convert to fraction form
    2,898.62/4,347.88 = 707.34/x
  3. Step 3: Cross multiply
    2,898.62x = 4,347.88 × 707.34
  4. Step 4: Simplify right side
    2,898.62x = 3,075,429.44
  5. Step 5: Solve for x
    x = 3,075,429.44/2,898.62
  6. Step 6: Final answer
    x = 1,061.00

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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.