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Finding the Fourth Proportional to 1,051.34, 1,567.83 and 921.93

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Solution

The fourth proportional to 1,051.34, 1,567.83 and 921.93 is: 1,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.34 : 1,567.83 = 921.93 : x
  2. Step 2: Convert to fraction form
    1,051.34/1,567.83 = 921.93/x
  3. Step 3: Cross multiply
    1,051.34x = 1,567.83 × 921.93
  4. Step 4: Simplify right side
    1,051.34x = 1,445,429.51
  5. Step 5: Solve for x
    x = 1,445,429.51/1,051.34
  6. Step 6: Final answer
    x = 1,374.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.