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Finding the Fourth Proportional to 1,569.98, 2,164.92 and 1,045.10

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Solution

The fourth proportional to 1,569.98, 2,164.92 and 1,045.10 is: 1,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.98 : 2,164.92 = 1,045.10 : x
  2. Step 2: Convert to fraction form
    1,569.98/2,164.92 = 1,045.10/x
  3. Step 3: Cross multiply
    1,569.98x = 2,164.92 × 1,045.10
  4. Step 4: Simplify right side
    1,569.98x = 2,262,557.89
  5. Step 5: Solve for x
    x = 2,262,557.89/1,569.98
  6. Step 6: Final answer
    x = 1,441.14

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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.