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Finding the Fourth Proportional to 1,926.72, 2,888.64 and 1,584

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Solution

The fourth proportional to 1,926.72, 2,888.64 and 1,584 is: 2,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.72 : 2,888.64 = 1,584 : x
  2. Step 2: Convert to fraction form
    1,926.72/2,888.64 = 1,584/x
  3. Step 3: Cross multiply
    1,926.72x = 2,888.64 × 1,584
  4. Step 4: Simplify right side
    1,926.72x = 4,575,605.76
  5. Step 5: Solve for x
    x = 4,575,605.76/1,926.72
  6. Step 6: Final answer
    x = 2,374.82

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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.