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Finding the Fourth Proportional to 1,483.71, 2,047.43 and 924.16

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Solution

The fourth proportional to 1,483.71, 2,047.43 and 924.16 is: 1,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.71 : 2,047.43 = 924.16 : x
  2. Step 2: Convert to fraction form
    1,483.71/2,047.43 = 924.16/x
  3. Step 3: Cross multiply
    1,483.71x = 2,047.43 × 924.16
  4. Step 4: Simplify right side
    1,483.71x = 1,892,152.91
  5. Step 5: Solve for x
    x = 1,892,152.91/1,483.71
  6. Step 6: Final answer
    x = 1,275.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.