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Finding the Fourth Proportional to 1,830.69, 2,526.63 and 1,387.86

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Solution

The fourth proportional to 1,830.69, 2,526.63 and 1,387.86 is: 1,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.69 : 2,526.63 = 1,387.86 : x
  2. Step 2: Convert to fraction form
    1,830.69/2,526.63 = 1,387.86/x
  3. Step 3: Cross multiply
    1,830.69x = 2,526.63 × 1,387.86
  4. Step 4: Simplify right side
    1,830.69x = 3,506,608.71
  5. Step 5: Solve for x
    x = 3,506,608.71/1,830.69
  6. Step 6: Final answer
    x = 1,915.46

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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.