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Finding the Fourth Proportional to 1,658.23, 2,492.51 and 1,045.87

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Solution

The fourth proportional to 1,658.23, 2,492.51 and 1,045.87 is: 1,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.23 : 2,492.51 = 1,045.87 : x
  2. Step 2: Convert to fraction form
    1,658.23/2,492.51 = 1,045.87/x
  3. Step 3: Cross multiply
    1,658.23x = 2,492.51 × 1,045.87
  4. Step 4: Simplify right side
    1,658.23x = 2,606,823.74
  5. Step 5: Solve for x
    x = 2,606,823.74/1,658.23
  6. Step 6: Final answer
    x = 1,572.06

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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.