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Finding the Fourth Proportional to 1,402.70, 2,100.58 and 1,045.65

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Solution

The fourth proportional to 1,402.70, 2,100.58 and 1,045.65 is: 1,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.70 : 2,100.58 = 1,045.65 : x
  2. Step 2: Convert to fraction form
    1,402.70/2,100.58 = 1,045.65/x
  3. Step 3: Cross multiply
    1,402.70x = 2,100.58 × 1,045.65
  4. Step 4: Simplify right side
    1,402.70x = 2,196,471.48
  5. Step 5: Solve for x
    x = 2,196,471.48/1,402.70
  6. Step 6: Final answer
    x = 1,565.89

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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.