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Finding the Fourth Proportional to 1,921.40, 2,881.93 and 534.77

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Solution

The fourth proportional to 1,921.40, 2,881.93 and 534.77 is: 802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.40 : 2,881.93 = 534.77 : x
  2. Step 2: Convert to fraction form
    1,921.40/2,881.93 = 534.77/x
  3. Step 3: Cross multiply
    1,921.40x = 2,881.93 × 534.77
  4. Step 4: Simplify right side
    1,921.40x = 1,541,156.63
  5. Step 5: Solve for x
    x = 1,541,156.63/1,921.40
  6. Step 6: Final answer
    x = 802.10

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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.