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Finding the Fourth Proportional to 2,898.76, 4,348.78 and 924.52

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Solution

The fourth proportional to 2,898.76, 4,348.78 and 924.52 is: 1,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.76 : 4,348.78 = 924.52 : x
  2. Step 2: Convert to fraction form
    2,898.76/4,348.78 = 924.52/x
  3. Step 3: Cross multiply
    2,898.76x = 4,348.78 × 924.52
  4. Step 4: Simplify right side
    2,898.76x = 4,020,534.09
  5. Step 5: Solve for x
    x = 4,020,534.09/2,898.76
  6. Step 6: Final answer
    x = 1,386.98

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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.