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Finding the Fourth Proportional to 1,466.51, 2,023.79 and 876.89

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Solution

The fourth proportional to 1,466.51, 2,023.79 and 876.89 is: 1,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.51 : 2,023.79 = 876.89 : x
  2. Step 2: Convert to fraction form
    1,466.51/2,023.79 = 876.89/x
  3. Step 3: Cross multiply
    1,466.51x = 2,023.79 × 876.89
  4. Step 4: Simplify right side
    1,466.51x = 1,774,641.89
  5. Step 5: Solve for x
    x = 1,774,641.89/1,466.51
  6. Step 6: Final answer
    x = 1,210.12

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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.