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Finding the Fourth Proportional to 2,870.69, 4,302.59 and 1,484.64

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Solution

The fourth proportional to 2,870.69, 4,302.59 and 1,484.64 is: 2,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.69 : 4,302.59 = 1,484.64 : x
  2. Step 2: Convert to fraction form
    2,870.69/4,302.59 = 1,484.64/x
  3. Step 3: Cross multiply
    2,870.69x = 4,302.59 × 1,484.64
  4. Step 4: Simplify right side
    2,870.69x = 6,387,789.79
  5. Step 5: Solve for x
    x = 6,387,789.79/2,870.69
  6. Step 6: Final answer
    x = 2,225.18

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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.