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Finding the Fourth Proportional to 4,646.98, 6,970.56 and 1,527.16

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Solution

The fourth proportional to 4,646.98, 6,970.56 and 1,527.16 is: 2,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.98 : 6,970.56 = 1,527.16 : x
  2. Step 2: Convert to fraction form
    4,646.98/6,970.56 = 1,527.16/x
  3. Step 3: Cross multiply
    4,646.98x = 6,970.56 × 1,527.16
  4. Step 4: Simplify right side
    4,646.98x = 10,645,160.41
  5. Step 5: Solve for x
    x = 10,645,160.41/4,646.98
  6. Step 6: Final answer
    x = 2,290.77

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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.