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Finding the Fourth Proportional to 1,458.58, 2,010.12 and 1,038.94

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Solution

The fourth proportional to 1,458.58, 2,010.12 and 1,038.94 is: 1,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.58 : 2,010.12 = 1,038.94 : x
  2. Step 2: Convert to fraction form
    1,458.58/2,010.12 = 1,038.94/x
  3. Step 3: Cross multiply
    1,458.58x = 2,010.12 × 1,038.94
  4. Step 4: Simplify right side
    1,458.58x = 2,088,394.07
  5. Step 5: Solve for x
    x = 2,088,394.07/1,458.58
  6. Step 6: Final answer
    x = 1,431.80

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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.